Two vectors u, v are orthogonal if and only if ||u+v||^2 +||u-v||^2 = 2||u||^2 - 2||v||^2? Doesn't (u+v)(u+v) + (u-v)(u-v) = u^2 + v^2?
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edited for stupidity
Good question man, I don't see how orthogonality plays any role.
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