Linear Algebra and the C Language/a002


Determinant: Cross product

In mathematics, the cross product or vector product is a binary operation on two vectors in a three-dimensional oriented Euclidean vector space, and is denoted by the symbol x..... Wikipedia: Cross product

The function

UxV_mR();

Code

Some properties

u x v == - v x u:

u x (v+w) == (uxv) + (uxw):

(v+w) x u == (vxu) + (wxu):

s (uxv) == su x v == u x sv:

If u and v are colinear then u x v == 0:

||u x v||**2 == ||u||**2 ||v||**2 - (u.v)**2: