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If vec u, vec nu, vec w be such that |ve...

If `vec u, vec nu, vec w` be such that `|vec u| =1, |vec nu| = 2, |vec w| = 3`. If the projection `vec nu` along `vec u` is equal to that of `vec w` along `vec u` , `vec nu` and `vec w` are perpendicular to each other, then `|vec u - vec nu + vec w| =`

A

`sqrt14`

B

`sqrt7`

C

2

D

14

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The correct Answer is:
A
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