Let the line passing through the points (-1,2,1) and parallel to the line (x-1)/2=(y+1)/3=z/4 intersect the line (x+2)/3=(y-3)/2=(z-4)/1 at the point…

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