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If |veca|=2,|vecb|=3 and |vec(c)|=4 and...

If `|veca|=2,|vecb|=3 and |vec(c)|=4 ` and each of `veca,vecb,vec(c)` is perpendicular to the sum of the other two vectors, then find the magnitude of `veca+vecb+vec(c)`.

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The correct Answer is:
`sqrt(29)` units.
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