Unit vectors equally inclined to the vectors $\hat{i}$ and $\frac{1}{3}(-2\hat{i} + \hat{j} + 2\hat{k})$ are

Question

$\pm \frac{1}{\sqrt{51}}(\hat{i} - 5\hat{j} + 5\hat{k})$

$\pm \frac{1}{\sqrt{51}}(\hat{i} - 5\hat{j} - 5\hat{k})$

$\pm \frac{1}{\sqrt{51}}(\hat{i} + 5\hat{j} + 5\hat{k})$

none of these

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