The cross product defined at
http://www.jsoftware.com/jwiki/Essays/Complete%20Tensor
seems to satisfy all the properties of cross product documented
at http://simple.wikipedia.org/wiki/Cross_product except the last.

<math> \vec{a}\times(\vec{a}\times\vec{b}) = -|\vec{a}|^2\vec{b}</math>

Is this a valid property for cross product?  If not, why not?
If so, how do I interpret it in this context?

Thanks,

-- 
Raul
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