Hướng dẫn dot product and cross product in python - tích vô hướng và tích chéo trong python
Có hai vectơ A và B và chúng ta phải tìm sản phẩm DOT và sản phẩm chéo của hai mảng vectơ. Sản phẩm DOT còn được gọi là sản phẩm vô hướng và sản phẩm chéo còn được gọi là sản phẩm vector. B3 * k. Trong đó i, j và k là vectơ đơn vị dọc theo hướng x, y và z. Sau đó, sản phẩm DOT được tính là DOT Product = A1 * B1 + A2 * B2 + A3 * B3Example - & NBSP; & NBSP;A and B and we have to find the dot product and cross product of two vector array. Dot product is also known as scalar product and cross product also known as vector product. Show
A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k dot product = 3 * 2 + 5 * 7 + 4 * 5 = 6 + 35 + 20 = 61 Sản phẩm chéo - Cho phép chúng tôi đã cho hai vectơ a = a1 * i + a2 * j + a3 * k và b = b1 * i + b2 * j + b3 * k. Sau đó, sản phẩm chéo được tính là sản phẩm chéo = (A2 * B3 - A3 * B2) * I + (A3 * B1 - A1 * B3) * J + (A1 * B2 - A2 * B1) * K, trong đó [(A2 * B3 - A3 * B2), (A3 * B1 - A1 * B3), (A1 * B2 - A2 * B1)] là hệ số của vectơ đơn vị dọc theo hướng I, j và k.Example - & nbsp; & nbsp; Let we have given two vector A = a1 * i + a2 * j + a3 * k and B = b1 * i + b2 * j + b3 * k. Then cross product is calculated as cross product = (a2 * b3 – a3 * b2) * i + (a3 * b1 – a1 * b3) * j + (a1 * b2 – a2 * b1) * k, where [(a2 * b3 – a3 * b2), (a3 * b1 – a1 * b3), (a1 * b2 – a2 * b1)] are the coefficient of unit vector
along i, j and k directions. A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k Ví dụ - & nbsp; & nbsp; Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 28 Code- C++
A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k0 int A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k2 int A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k4 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k5 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k6 int A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k8 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k6 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 280 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 281 int Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 283 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 284 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 285 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k6 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 287 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 288 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 289 Dot product:-4 Cross product:-49 -7 280 Dot product:-4 Cross product:-49 -7 281 int A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k2 int Dot product:-4 Cross product:-49 -7 285 int Dot product:-4 Cross product:-49 -7 287 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k5 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k6 #include 0A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k6 #include 2A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k6 #include 4Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 289
A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k5 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k6 int #define n 3 1A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k6 int #define n 3 4A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k6 int #define n 3 7A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k6 #define n 3 9using 0using 1A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k6 using 3A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k6 #define n 3 9using 6using 1A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k6 using 9A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k6 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 280 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 281 int Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 283 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 284 namespace 6namespace 7using 1A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k6 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 287 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 288 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 289 Dot product:-4 Cross product:-49 -7 280 Dot product:-4 Cross product:-49 -7 281int A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k2int Dot product:-4 Cross product:-49 -7 285int Dot product:-4 Cross product:-49 -7 287
A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k6 int #define n 3 1A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k6 int #define n 3 4A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k6 int #define n 3 7A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k6 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k5 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k6 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 287 std; 1Java A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k15 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 285
A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k6 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 289
A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k6 std; 8 int int 0int 1using 1A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k6 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k5 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 284 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k36 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k06 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k38 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k39 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k40 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k41 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k42 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k43 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k44 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k41 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k40 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k39 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k48 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 284 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k36 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k39 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k38 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k41 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k40 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k06 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k42 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k43 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k44 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k06 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k40 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k41 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k48 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 284 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k36 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k41 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k38 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k06 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k40 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k39 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k42 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k6 std; 8 int A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k0 int A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k2 int A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k4 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k6 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 289 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 284 int A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k05 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k06 using 1A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k6 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k5 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 284 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 280 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 281 int A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k12 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k06 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k14 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 284 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 287 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 288 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k6 std; 8 Dot product:-4 Cross product:-49 -7 280 Dot product:-4 Cross product:-49 -7 281 int A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k2 int A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k29 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 284 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 2811 using 0Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 2813 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 284 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 2815 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 284 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 2811 using 6Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 2813 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 284 using 9Java A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k15 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 2830 namespace 7Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 2813 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k6 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 289 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 289 Python3
A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k6 std; 8 int int 0int 1using 1A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k6 std; 8 int A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k0 int A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k2 int A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k4 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 284 int A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k05 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k06 using 1Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 284 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 280 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 281 int A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k12 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k06 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k14 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 284 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 287 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 288 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k6 std; 8 Dot product:-4 Cross product:-49 -7 280 Dot product:-4 Cross product:-49 -7 281 int A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k2 int A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k29 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k30 int Dot product:-4 Cross product:-49 -7 287 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k43 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k44 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k39 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k40 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k06 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k48 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k6 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k80 std; 8 Dot product:-4 Cross product:-49 -7 280 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k83 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 284 int A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k88 int 1A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k90 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k91 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k92 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k93 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k94 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 284 int A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k97 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k41 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k92 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 2800 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k92 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k91 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k94 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k6 Dot product:-4 Cross product:-49 -7 2842 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 2837 Dot product:-4 Cross product:-49 -7 2844 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k6 Dot product:-4 Cross product:-49 -7 2846 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 281 using 0Dot product:-4 Cross product:-49 -7 2849 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 2837 namespace 7Dot product:-4 Cross product:-49 -7 2852 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k6 Dot product:-4 Cross product:-49 -7 2846 Dot product:-4 Cross product:-49 -7 2855 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k6 Dot product:-4 Cross product:-49 -7 2846 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 281 using 6Dot product:-4 Cross product:-49 -7 2849 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 2837 namespace 7Dot product:-4 Cross product:-49 -7 2852 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k6 Dot product:-4 Cross product:-49 -7 2865 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k6 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 280 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 2847 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 2848 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 2849 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 281 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k06 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 2852 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 284 Dot product:-4 Cross product:-49 -7 2846 Dot product:-4 Cross product:-49 -7 2876 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 2837 namespace 7Dot product:-4 Cross product:-49 -7 2852 C#
Dot product:-4 Cross product:-49 -7 2881
A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k6 std; 8 int Dot product:-4 Cross product:-49 -7 2887 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k6 std; 8 int A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k0 int Dot product:-4 Cross product:-49 -7 2893 Dot product:-4 Cross product:-49 -7 2894 int Dot product:-4 Cross product:-49 -7 2896 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k6 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k5 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 284 int A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k8 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 284 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 280 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 281 int Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 283 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k15 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 285 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 284 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 287 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 288 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k6 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 289 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k6 std; 8 Dot product:-4 Cross product:-49 -7 280 Dot product:-4 Cross product:-49 -7 281 int Dot product:-4 Cross product:-49 -7 2893 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k30 int #include 22int #include 24A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k6 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k5 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 284 #include 28A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k43 #include 30Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 284 #include 32A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k43 #include 34Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 284 #include 36A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k43 #include 38A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k6 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 289 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k6 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k80 std; 8 Dot product:-4 Cross product:-49 -7 280 #include 45A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k6 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k5 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 284 int #include 50Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 284 int #include 53Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 284 int #include 56Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 2807 int Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 2809 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 284 #include 61using 0Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 2813 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 284 #include 65A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k15 #include 67Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 284 #include 61using 6Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 2813 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 284 using 9Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 284 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 280 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 281 int Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 283 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k15 #include 80namespace 7Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 2813 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k6 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 289 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 289 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 284Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 287 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 288
A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k6 std; 8 Dot product:-4 Cross product:-49 -7 280 Dot product:-4 Cross product:-49 -7 281 int Dot product:-4 Cross product:-49 -7 2893 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k6 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k80 std; 8 Dot product:-4 Cross product:-49 -7 280 #include 45A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k5 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 284 int #include 56Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 2807 int Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 2809 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 284 #include 61using 0Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 2813 PHP
Dot product:-4 Cross product:-49 -7 2823 #define n 3 06A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k48
A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k92 #include 93Dot product:-4 Cross product:-49 -7 2852 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 289 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k6 #include 97 #include 87using 1
A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k92 #define n 3 40Dot product:-4 Cross product:-49 -7 2852 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k5 A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k6 #define n 3 40#define n 3 45#include 91#define n 3 47#include 93#define n 3 49
A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k6 #define n 3 01 #define n 3 02
A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k6 #define n 3 40#define n 3 69#include 91#define n 3 64#include 93#define n 3 73
A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k6 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 280 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 281 #define n 3 06 #define n 3 07#define n 3 06 #define n 3 09__Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 289 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 284 #define n 3 01 #define n 3 16#define n 3 01 #define n 3 18#include 91Dot product:-4 Cross product:-49 -7 2823 #define n 3 06__A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k6 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 287 #define n 3 01using 1
Các A = 3 * i + 5 * j + 4 * k B = 2 * i + 7 * j + 5 * k cross product = (5 * 5 - 4 * 7) * i + (4 * 2 - 3 * 5) * j + (3 * 7 - 5 * 2) * k = (-3)*i + (-7)*j + (11)*k6 Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 287 #define n 3 40using 1
Input: vect_A[] = {3, -5, 4} vect_B[] = {2, 6, 5} Output: Dot product: -4 Cross product = -49 -7 2813
#define n 398 #include |