A unit vector perpendicular to both the vectors $ \hat{i} + \hat{j} $ and $ \hat{j} + \hat{k} $ is:
$ -\hat{i} - \hat{j} + \hat{k} $
$ \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}} $
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