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The vec a, vec b, vec c are three vector...

The `vec a, vec b, vec c` are three vectors which are respectively perpendicular to `vec b + vec c, vec c + vec a` and `vec a + vec b`, such that `|vec a| =3, |vec b| = 4, |vec c| = 5`, then `|vec a + vec b + vec c|=`

A

`3sqrt2`

B

`sqrt3`

C

`5sqrt2`

D

`2sqrt3`

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The correct Answer is:
C
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