I would like to show that (cxb).a = (axc).b in R(adsbygoogle = window.adsbygoogle || []).push({}); ^{n}where x denotes the cross product and . denotes the dot product.

Since the cross product is only defined in R^{1}, R^{3}, and R^{7}, my inclination is to prove the above equation in cases (case one being a,b,c are vectors in R^{1}, etc). However, this seems a bit tedious, particularly for R^{7}.

I am familiar with the Triple Product in R^{3}, but am unsure if it applies in R^{n}, and if so how to prove it. If so, this seems like a much quicker and more concise proof.

Please help! Any assistance is greatly appreciated. Thanks!

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# Applying the Triple Product in n-dimension

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