A vector of magnitude 4 which is equally inclined to \( \mathrm{P} ...

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A vector of magnitude 4 which is equally inclined to
\( \mathrm{P} \)
W the vectors \( \hat{i}+\hat{j}, \hat{j}+\hat{k} \) and \( \hat{k}+\hat{i} \), is
(1) \( \frac{4}{\sqrt{3}}(\hat{i}-\hat{j}-\hat{k}) \)
(2) \( \frac{4}{\sqrt{3}}(\hat{i}+\hat{j}-\hat{k}) \)
(3) \( \frac{4}{\sqrt{3}}(\hat{i}+\hat{j}+\hat{k}) \)
(4) none of these
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