The
formulae given above only show the
magnitude of the vector cross product. The primary difference between the cross product (a.k.a. vector product) and
dot product (a.k.a. scalar product) is that this one results in a vector. So, the complete formula for a 3-dimensional cross product, given vectors A and B:
A x B = ( AyBz - AzBy )i +
( AzBx - AxBz )j +
( AxBy - AyBx )k
Where i, j and k are the
unit vectors.