3D Vectors

Have length and direction V = [xv, yv, zv]

Length is given by the Euclidean Norm ||V|| = [[radical]]( xv2 + yv2 + zv2 )

Dot Product V*U = [xv, yv, zv] * [xu, yu, zu] = xvxu + yvyu + zvzu
= ||V|| ||U|| cos ß

Cross Product V x U = [vyuz - vzuy, -vxuz + vzux, vxuy - vyux]
V x U = - ( U x V)

Direction of resulting vector depends on coordinate system and order of vectors.