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The vectors vec(a), vec(b), vec(c) are s...

The vectors `vec(a), vec(b), vec(c)` are such that `vec(a) + vec(b) + vec(c) = vec(0)`. If `|vec(a)|= 3, |vec(b)| =4 and |vec(c)| =5`, then show that `vec(a).vec(b) + vec(b).vec(c) + vec(c).vec(a) = -25`

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`-25`
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