When multiplying vectors via the cross product, the result is a vector perpendicular to the two vectors in the cross product.

Note also that a × b = - b × a.

If c = a × b then the magnitude of c = a b sin(θ)

The direction can be found from the right-hand rule.

c = a × b = (a_y b_z - b_y a _z ) + (a_z b_x - b_z a_x ) + (a_x b_y - b_x a_y )