Q 1679334216.     Let `\vec{a}=\hat{i}+\hat{j}+\hat{k}, \vec{b}=\hat{i}-\hat{j}+\hat{k}` and `\vec{c}=\hat{i}-\hat{j}-\hat{k}` be three vectors. A vector `\vec{v} `in the plane of ` \vec{a} `and `\vec{b}` , whose projection on `\vec{c} ` is ` \frac{1}{\sqrt{3}}` , is given by

JEE 2011 ADVANCED Paper - 1
A

`\hat{i}-3\hat{j}+3\hat{k}`

B

`-3\hat{i}-3\hat{j}-\hat{k}`

C

`3\hat{i}-\hat{j}+3\hat{k}`

D

`\hat{i}+3\hat{j}-3\hat{k}`

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