Let the line L pass through the point (0,1,2), intersect the line (x-1)/2=(y-2)/3=(z-3)/4 and be parallel to the plane 2 x+y-3 z=4. Then the distance…

Let the line L pass through the point $\displaystyle (0,1,2)$, intersect the line $\displaystyle \frac{x-1}{2}=\frac{y-2}{3}=\frac{z-3}{4}$ and be parallel to the plane $\displaystyle 2 x+y-3 z=4$. Then the distance of the point $\displaystyle \mathrm{P}(1,-9,2)$ from the line L is