If the scalar product of the vector \( \hat{i}+\hat{j}+\hat{k} \) w...

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If the scalar product of the vector \( \hat{i}+\hat{j}+\hat{k} \) with the
\( \mathrm{P} \) unit vector in the direction of the resultant of the

W vectors \( 2 \hat{i}+4 \hat{j}-5 \hat{k} \) and \( \lambda \hat{i}+2 \hat{j}+3 \hat{k} \) is unity, then \( \lambda \) equals
(1) 5
(2) 2
(3) 1
(4) -1
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