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If vec(a), vec(b) and vec(c) are three v...

If `vec(a), vec(b)` and `vec(c)` are three vectors such that `vec(a) + vec(b) + vec(c) = vec(0)`, then prove that `vec(a) xx vec(b) = vec(b) xx vec(c) = vec(c) xx vec(a)`.

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