- #1

rachbomb

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^{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!