Let \( P(3,2,6) \) be a point in space and \( Q \) be a point on line \( \vec{r}=(\hat{i}-\hat{j...
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Let \( P(3,2,6) \) be a point in space and \( Q \) be a point on line \( \vec{r}=(\hat{i}-\hat{j}+2 \hat{k})+\mu(-3 \hat{i}+\hat{j}+5 \hat{k}) \). Then the value of \( \mu \) for which the vector \( \overrightarrow{P Q} \) is parallel to the plane \( x-4 y \) \( +3 z=1 \) is
(A) \( 1 / 4 \)
(B) \( -1 / 4 \)
(C) \( 1 / 8 \)
(D) \( -1 / 8 \)
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