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

If `veca, vecb, vecc` are three non-zero vector 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|+|vecb| +|vecc|`

B

`2 (|veca|^(2) + |vecb|^(2) |vecc|^(2))`

C

`1/2(|veca|^(2) + |vecb|^(2) |vecc|^(2))`

D

`|veca|^(2)+|vecb|^(2) +|vecc|^(2) `

Text Solution

Verified by Experts

The correct Answer is:
D
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