End of Chapter

Right hand rule.

The orientation of u×v is in the "thumb" direction if your fingers curl from u to v.

Magnitude of Cross product.

The magnitude of u×v is the area of the parallelogram defined by the two vectors.

Anti-commutative

u × v   =   -(v × u)

u × u   =   0       (ku) × u   =   0.

Cross product with zero vector yields zero vector.

u × 0   =   0 × u   =   0

Not associative

In general:   (u × v) × w  =/=  u × (v × w)

Distributive over vector addition

u × (v + w)   =   u × v + u × w

Cross product between coordinate axes

i × j   =   k       j × k   =   i       k × i   =   j      

The next chapter discusses rectangular matrices.