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If vec a, vec b, vec c are three vectors...

If `vec a, vec b, vec c` are three vectors such that `vec a . (vec b + vec c) + vec b . (vec c + vec a) + vec c . (vec a + vec b) = 0` and `|vec a| = 1, |vec b | = 4, |vec c| = 8`, then `|vec a + vec b + vec c| =`

A

13

B

81

C

9

D

5

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The correct Answer is:
C
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