Let P be the point (10,-2,-1) and Q be the foot of the perpendicular drawn from the point R(1,7,6) on the line passing through the points (2,-5,11)…

Let $\displaystyle P$ be the point $\displaystyle (10,-2,-1)$ and $\displaystyle Q$ be the foot of the perpendicular drawn from the point $\displaystyle R(1,7,6)$ on the line passing through the points ($\displaystyle 2$,-$\displaystyle 5,11$) and $\displaystyle (-6,7,-5)$. Then the length of the line segment $\displaystyle P Q$ is equal to $\displaystyle \_\_\_\_$.