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 $\overrightarrow{\mathrm{PQ}}$ is parallel to the plane $\mathrm{x}-4 \mathrm{y}+3 \mathrm{z}=1$ is
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