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If vec(a), vec(b) and vec(c) are vectors...

If `vec(a), vec(b) and vec(c)` are vectors with magnitudes 3,4 and 5 respectively and `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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Verified by Experts

The correct Answer is:
`(x^2)/2 log|x| - (x^2)/4 + c`
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