vector_cross_product.cpp

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#include <iostream>
#include <array>
#include <cmath>
#include <cassert>

namespace math {
    namespace vector_cross {
        std::array<double, 3> cross(const std::array<double, 3> &A, const std::array<double, 3> &B) {
            std::array<double, 3> product;
            product[0] = (A[1] * B[2]) - (A[2] * B[1]);
            product[1] = -((A[0] * B[2]) - (A[2] * B[0]));
            product[2] = (A[0] * B[1]) - (A[1] * B[0]);
            return product;
        }

        double mag(const std::array<double, 3> &vec) {
            double magnitude = sqrt((vec[0] * vec[0]) + (vec[1] * vec[1]) + (vec[2] * vec[2]));
            return magnitude;
        }
    } 
} 

static void test() {
    std::array<double, 3> t_vec = math::vector_cross::cross({1, 2, 3}, {4, 5, 6});
    assert(t_vec[0] == -3 && t_vec[1] == 6 && t_vec[2] == -3);

    double t_mag = math::vector_cross::mag({6, 8, 0});
    assert(t_mag == 10);
}

int main() {

    test();
 
    std::array<double, 3> vec1;
    std::array<double, 3> vec2;

    std::cout << "\nPass the first Vector: ";
    std::cin >> vec1[0] >> vec1[1] >> vec1[2];

    std::cout << "\nPass the second Vector: ";
    std::cin >> vec2[0] >> vec2[1] >> vec2[2];

    std::array<double, 3> product = math::vector_cross::cross(vec1, vec2);
    std::cout << "\nThe cross product is: " << product[0] << " " << product[1] << " " << product[2] << std::endl;

    std::cout << "Magnitude: " << math::vector_cross::mag(product) << "\n" << std::endl;
 
    return 0;
}