For any to vectors vec A and vec B, prove that |vec A xx vec B|^2 = A^2 B^2 - ( vec A. vec B)^2...

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Prove that `(vec(a)-vec(b)) xx (vec(a) +vec(b))=2(vec(a) xx vec(b))` Prove that `(vec(a)-vec(b)) xx (vec(a) +vec(b))=2(vec(a) xx vec(b))`
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