The unitvectors orthogonal to the vector \( \hat{i}+2 \hat{\jmath}+2 \hat{k} \) kand making equa...

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The unitvectors orthogonal to the vector \( \hat{i}+2 \hat{\jmath}+2 \hat{k} \) kand making equal angles with the \( X \) and \( Y \) axes
(A) \( \pm \frac{1}{3}(2 \hat{i}+2 \hat{j}-\hat{k}) \)
(B) \( \pm \frac{1}{3}(\hat{i}+j-\hat{k}) \)
(C) \( \pm 1 / 3(2 \hat{i}-2 \hat{j}-k) \)
(D) none of these
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