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If vec(a),vec(b), vec(c) are such that v...

If `vec(a),vec(b), vec(c)` are such that `vec(a).vec(b) = vec(a).vec(c)` then show that `vec(a) = 0` or `vec(b) = vec(c)` or `vec(a)` is perpendicular to `vec(b) - vec(c)`.

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