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Using the definition [itex]\bold{A}\times \bold{B}=AB\sin\theta[/itex] show whether or not [itex](\bold

A\times\bold B)\times\bold C=\bold A\times(\bold B\times\bold C)[/itex]

I know this is probably easy, but I am missing the obvious here. So I started like this:

Assuming [itex]\theta[/itex] lies betweenAandBand [itex]\phi[/itex] lies between [itex]\bold{A}\times \bold{B}[/itex] andCthen [itex](\bold

A\times\bold B)\times\bold C=(AB\sin\theta)C\sin\phi[/itex] ... wait is that it?

Since that mess is associative then so is the cross-product?

Granted, I should probably include an angle betweenBandCto be thorough...

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# Homework Help: Prove whether Cross-Product is associative

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