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)
Co-linear operands yield zero vector.: 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.