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

If `vec(a),vec(b)` and `vec(c )` are three vectors such that `|vec(a)|=3,|vec(b)|=4` and `|vec(c )|=5` and each one of these is perpendicular to sum of other two find `|vec(a)+vec(b)+vec(c )|`.

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The correct Answer is:
`5sqrt(2)`
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