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Let vec(a), vec(b), vec(c ) be such that...

Let `vec(a), vec(b), vec(c )` be such that `vec(c ) ne vec(0), vec(a) xx vec(b)= vec(c ) and vec(b) xx vec(c )= vec(a)` then show that `vec(a), vec(b) and vec(c )` are pairwise perpendicular, `|vec(b)|=1 and |vec(c )|= |vec(a)|`.

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