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Here is a list of cross product properties:

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.
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.

You have reached the end of the chapter.

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