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

If `vec(a), vec(b)` and `vec(c )` are three vectors such that `|vec(a)| = 3, |vec(b)| = 4` and `|vec(c )| = 3` and each one of them is perpendicular to the sum of the other two, then find `|vec(a) + vec(b) + vec(c )|`.

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