Let a straight line L pass through the point \(\mathrm{P}(2,-1,3)\) and be perpendicular to the lines \(\frac{x-1}{2}=\f…

Let a straight line L pass through the point \(\mathrm{P}(2,-1,3)\) and be perpendicular to the lines \(\frac{x-1}{2}=\frac{y+1}{1}=\frac{z-3}{-2}\)and \(\frac{x-3}{1}=\frac{y-2}{3}=\frac{z+2}{4}\). If the line \(L\) intersects the \(y z\)-plane at the point \(Q\), then the distance between the points \(P\)and \(Q\) is :