Would you show an example of math how to find the cross product?

For two vectors (A & B) in 3-space, using the (i j k) unit vector notation:

if A = a1*i + a2*j + a3*k, and B = b1*i + b2*j + b3*k the cross product A X B can be found by computing a determinant of the following matrix:

| i j k |

|a1 a2 a3 |

|b1 b2 b3 |

Mathematically, it will look like this: (a2*b3 - a3*b2)*i- (a1*b3 - a3*b1)*j + (a1*b2 - a2*b1)*k

I did do just a little copy/paste from the crossproduct website, which I've posted a link to, which has some good information.