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Answer:

Here is a list of cross product properties:


End of Chapter

right-hand rule Right hand rule.
The orientation of u×v is in the "thumb" direction if your fingers curl from u to v.
cross product, as area of parallelogram Magnitude of Cross product.
The magnitude of u×v is the area of the parallelogram defined by the two vectors.
cross product, anti-commutative Anti-commutative
u × v   =   -(v × u)
cross product, collinear vectors Co-linear operands yield zero vector.
u × u   =   0       (ku) × u   =   0.
cross product, with zero vector Cross product with zero vector yields zero vector.
u × 0   =   0 × u   =   0
cross product, not associative Not associative
In general:   (u × v) × w  =/=  u × (v × w)
cross product, distributive property Distributive over vector addition
u × (v + w)   =   u × v + u × w
cross product, between coordinate axes Cross product between coordinate axes
i × j   =   k       j × k   =   i       k × i   =   j      

The next chapter discusses rectangular matrices.


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