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If vec(a), vec(b) and vec(c) are unit ve...

If `vec(a), vec(b)` and `vec(c)` are unit vectors such that `vec(a) + vec(b) + vec(c) = vec(0)`, then find the value of `vec(a).vec(b) + vec(b).vec(c) + vec(c).vec(a)`.

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