# C++ Program to Compute Cross Product of Two Vectors

This is a C++ Program to find the cross product of two vectors. In mathematics, the cross product or vector product is a binary operation on two vectors in three-dimensional space. It results in a vector that is perpendicular to both and therefore normal to the plane containing them.

Here is source code of the C++ Program to Compute Cross Product of Two Vectors. The C++ program is successfully compiled and run on a Linux system. The program output is also shown below.

1. `#include<time.h>`
2. `#include<stdlib.h>`
3. `#include<iostream>`
4. `#include<math.h>`
5. ` `
6. `using namespace std;`
7. `const int LOW = 0;`
8. `const int HIGH = 10;`
9. `int main(int argc, char **argv)`
10. `{`
11. `    time_t seconds;`
12. `    time(&seconds);`
13. `    srand((unsigned int) seconds);`
14. ` `
15. `    int u1, u2, u3, v1, v2, v3;`
16. `    u1 = rand() % (HIGH - LOW + 1) + LOW;`
17. `    u2 = rand() % (HIGH - LOW + 1) + LOW;`
18. `    u3 = rand() % (HIGH - LOW + 1) + LOW;`
19. `    v1 = rand() % (HIGH - LOW + 1) + LOW;`
20. `    v2 = rand() % (HIGH - LOW + 1) + LOW;`
21. `    v3 = rand() % (HIGH - LOW + 1) + LOW;`
22. ` `
23. `    int uvi, uvj, uvk;`
24. `    uvi = u2 * v3 - v2 * u3;`
25. `    uvj = v1 * u3 - u1 * v3;`
26. `    uvk = u1 * v2 - v1 * u2;`
27. ` `
28. `    cout << "The cross product of the 2 vectors \n u = " << u1 << "i + " << u2`
29. `            << "j + " << u3 << "k and \n v = " << u1 << "i + " << u2 << "j + "`
30. `            << u3 << "k \n ";`
31. `    cout << "u X v : " << uvi << "i +" << uvj << "j+ " << uvk << "k ";`
32. `    return 0;`
33. `}`

Output:

```\$ g++ CrossProduct.cpp
\$ a.out

The cross product of the 2 vectors
u = 6i + 9j + 9k and
v = 6i + 9j + 9k
u X v : 0i +6j+ -6k
------------------
(program exited with code: 0)

Sanfoundry Global Education & Learning Series – 1000 C++ Programs.