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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

`vec 0`

B

`2[vec a vec b vec c]`

C

0

D

`vec a + vec b + vec `

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