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If a,b, and c are three non-zero vectors...

If a,b, and c are three non-zero vectors such that each one of them being perpendicular to the sum of the other two vectors, then the velus of `|a +b+ c| ^(2)` is

A

`|a| ^(2) + |b|^(2 + |c| ^(2)`

B

`|a| + |b| + |c|`

C

`2(|a| ^(2) + |b| ^(2) + |c | ^(2) )`

D

`1/2 (|a| ^(2) + |b| ^(2) + |c| ^(2))`

Text Solution

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The correct Answer is:
A
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