Q 2584634557.     Magnitudes of vectors `vec(a) , vec(b), vec (c)` are `3,4,5` respectively. If

`vec(a)` and `vec(b) + vec(c) , vec(b)` and `vec(c) + vec(a) , vec(c)` and

`vec(a) + vec(b)` are mutually perpendicular, then magnitude of

`vec(a) + vec(b) + vec(c)` is

UPSEE 2008
A

`4 sqrt (2)`

B

`3 sqrt (2)`

C

`5 sqrt (2)`

D

`3 sqrt (3)`

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