Question 23

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


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