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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) times vec(b)=vec(c) and vec(b) times vec(c)=vec(a)," prove that "vec(a), vec(b), vec(c)` are mutually perpendicular and `abs(vec(b))=1 and abs(vec(c))=abs(vec(a))`.

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