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If veca , vecb,vecc are three non zero v...

If `veca , vecb,vecc` are three non zero vectors such that each one of then is perpendicular to the sum of the other two vectors then the value of `|veca+vecb+vecc|^(2)` is

A

`|veca|^(2)+|vecb+|^(2)+|vec c|^(2)`

B

`|veca|+|vecb+|+|vec c|`

C

`2(|veca|^(2)+|vecb+|^(2)+|vec c|^(2))`

D

`1/2(|veca|^(2)+|vecb+|^(2)+|vec c|^(2))`

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A
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