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Let `vec a, vec b` and `vec c` of magnitudes 3,4 and 5 repectively. If `vec a` is perpendicular to `(vec b + vec c), vec b` is perpendicular to `(vec c + vec a)` and `vec c` is perpendicular to `(vec a + vec b)`, then the magnitude of `vec a + vec b + vec c` is

A

5

B

`5sqrt2`

C

`5sqrt3`

D

12

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The correct Answer is:
B
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