A vector which makes equal angles with the vectors \[ \frac{1}{3}(\hat{i}-2 \hat{j}+2 \hat{k}), ...

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