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Question

A unit vector perpendicular to the plane containing the vectors $(\hat{i} + 2\hat{j} + \hat{k})$ and $(-2\hat{i} + \hat{j} + 3\hat{k})$ is

$(\frac{\hat{i} + \hat{j} + \hat{k}}{\sqrt{3}})$

$(\frac{\hat{i} + \hat{j} - \hat{k}}{\sqrt{3}})$

$(\frac{-\hat{i} + \hat{j} - \hat{k}}{\sqrt{3}})$

$(\frac{-\hat{i} - \hat{j} - \hat{k}}{\sqrt{3}})$

Solution

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