Vectors perpendicular to \( \hat{i}-\hat{j}-\hat{k} \) and in the p...

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Vectors perpendicular to \( \hat{i}-\hat{j}-\hat{k} \) and in the plane of \( \hat{i}+\hat{j}+\hat{k} \) and \( -\hat{i}+\hat{j}+\hat{k} \) are
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(1) \( \hat{i}+\hat{k} \)
(2) \( 2 \hat{i}+\hat{j}+\hat{k} \)
(3) \( 3 \hat{i}+2 \hat{j}+\hat{k} \)
(4) \( -4 \hat{i}-2 \hat{j}-2 \hat{k} \)
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