Let the line passing through the points P (2,-1,2) and Q (5,3,4) meet the plane x-y+z=4 at the point R. Then the distance of the point R from the…

Let the line passing through the points $\displaystyle \mathrm{P}(2,-1,2)$ and $\displaystyle \mathrm{Q}(5,3,4)$ meet the plane $\displaystyle x-y+z=4$ at the point R . Then the distance of the point R from the plane $\displaystyle x+2 y+3 z+2=0$ measured parallel to the line $\displaystyle \frac{x-7}{2}=\frac{y+3}{2}=\frac{z-2}{1}$ is equal to