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a, b, c are three vectors such that |a| ...

a, b, c are three vectors such that `|a| = 1, |b| = 2, |c| = 3` and b, c are perpendicular. If projection of b on a is the same as the projection of c on a, then `|a-b + c| =`

A

`sqrt(2)`

B

`sqrt(7)`

C

`sqrt(14)`

D

`sqrt(21)`

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The correct Answer is:
C
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