What vector must be added to the two vectors \( \mathrm{P} \) \( \h...

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What vector must be added to the two vectors
\( \mathrm{P} \) \( \hat{i}-2 \hat{j}+2 \hat{k} \) and \( 2 \hat{i}+\hat{j}-\hat{k} \), so that the resultant may

W. be a unit vector along \( x \)-axis
(1) \( 2 \hat{i}+\hat{j}-\hat{k} \)
(2) \( -2 \hat{i}+\hat{j}-\hat{k} \)
(3) \( 2 \hat{i}-\hat{j}+\hat{k} \)
(4) \( -2 \hat{i}-\hat{j}-\hat{k} \)
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