Let \( P(3,2,6) \) be a point in space and \( Q \) be a point on the line \( \vec{r}=(\hat{i}-\h...

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Let \( P(3,2,6) \) be a point in space and \( Q \) be a point on the 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) \( \frac{1}{4} \)
(b) \( -\frac{1}{4} \)
(c) \( \frac{1}{8} \)
(d) \( -\frac{1}{8} \)
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