A unit vector perpendicular to both $\hat{i} + \hat{j} + \hat{k}$ and $2\hat{i} + \hat{j} - \hat{k}$ is __________.

Question

$\frac{2\hat{i} - \hat{j} - \hat{k}}{\sqrt{6}}$

$\frac{-2\hat{i} + 3\hat{j} - \hat{k}}{\sqrt{14}}$

$2\hat{i} + \hat{j} + \hat{k}$

$\frac{3\hat{i} + \hat{j} - 2\hat{k}}{\sqrt{14}}$

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