(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Show thatax(bxc)=(a*c)b-(a*b)c. Why is it reasonable thatax(bxc) is some combination ofbandc?

[The * indicates the dot product in this case because I can't find the appropriate latex symbol]

3. The attempt at a solution

I've shown the first part, but have no real idea how to describe the second. The best I've got so far:

It is reasonable becausebandcare components of the final cross product witha.

That definitely seems lacking to me.

Any help on how to answer the 2nd part of the question would be much appreciated.

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# Homework Help: Why is aX(bXc)=(a*c)b-(a*b)c reasonable? (vectors)

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