A vector which makes equal angles with the vectors \( \frac{1}{3}(\hat{\imath}-2 \hat{\jmath}+2 ...

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A vector which makes equal angles with the vectors \( \frac{1}{3}(\hat{\imath}-2 \hat{\jmath}+2 \hat{k}),-(-4 \hat{\imath}-3 \hat{k}) \) and \( \hat{\jmath} \)
(A) \( 5 \hat{i}+\hat{j}+5 \hat{k} \)
(B) \( -5 \hat{\imath}+\hat{\jmath}+5 \hat{k} \)
(C) \( 5 \hat{i}-\hat{j}+\bar{j} \hat{k} \)
(D) \( 5 \hat{i}+\hat{j}-5 \hat{k} \)
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