Let the position vectors of the points \( P \) and \( Q \) be \( 4 ...

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Let the position vectors of the points \( P \) and \( Q \) be \( 4 \hat{i}+\hat{j}+\lambda \hat{k} \) and \( 2 \hat{i}-\hat{j}+\hat{k} \), respectively. Vector \( \hat{i}-\hat{j}+6 \hat{k} \) is perpendicular to the plane containing the origin and the points \( P \) and \( Q \). Then \( \lambda \) equals
\( \mathrm{P} \)
(1) \( -1 / 2 \)
(2) \( 1 / 2 \)
(3) 1
(4) none of these
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