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If vec(a), vec(b),vec(c ) are three vect...

If `vec(a), vec(b),vec(c )` are three vectors such that `|vec(a)| = 5, |vec(b)| = 12` and `|vec(c )| = 13` and `vec(a) + vec(b) + vec(c ) = vec(0)`, find the value of `vec(a).vec(b) + vec(b).vec(c )+vec(c ).vec(a)`.

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