这是一个C ++程序,用于计算两个向量的叉积。
让我们假设
M = m1 * i + m2 * j + m3 * k
N = n1 * i + n2 * j + n3 * k
因此,叉积=(m2 * n3 – m3 * n2)* i +(m1 * n3 – m3 * n1)* j +(m1 * n1 – m2 * n1)* k
其中,m2 * n3 – m3 * n2,m1 * n3 – m3 * n1和m1 * n1 – m2 * n1是沿i,j和k方向的单位矢量系数。
Begin Declare a function cProduct(). Declare three vectors v_A[], v_B[], c_P[] of the integer datatype. c_P[0] = v_A[1] * v_B[2] - v_A[2] * v_B[1]. c_P[1] = -(v_A[0] * v_B[2] - v_A[2] * v_B[0]). c_P[2] = v_A[0] * v_B[1] - v_A[1] * v_B[0]. Initialize values in v_A[] vector. Initialize values in v_B[] vector. Initialize c_P[] vector with an integer variable n. Print “叉积:”. Call the function cProduct() to perform cross product within v_A[] and v_B[]. for (int i = 0; i < n; i++) print the value of c_P[] vector. End.
#include #define n 3 using namespace std; void crossProduct(int v_A[], int v_B[], int c_P[]) { c_P[0] = v_A[1] * v_B[2] - v_A[2] * v_B[1]; c_P[1] = -(v_A[0] * v_B[2] - v_A[2] * v_B[0]); c_P[2] = v_A[0] * v_B[1] - v_A[1] * v_B[0]; } int main() { int v_A[] = { 7, 6, 4 }; int v_B[] = { 2, 1, 3 }; int c_P[n]; cout << "叉积:"; crossProduct(v_A, v_B, c_P); for (int i = 0; i < n; i++) cout << c_P[i] << " "; return 0; }
输出结果
叉积: 14 13 -5