Let a line L passing through the point P (1,1,1) be perpendicular to the lines (x-4)/4=(y-1)/1=(z-1)/1 and (x-17)/1=(y-71)/1=z/0. Let the line L…

Let a line L passing through the point $\displaystyle \mathrm{P}(1,1,1)$ be perpendicular to the lines $\displaystyle \frac{x-4}{4}=\frac{y-1}{1}=\frac{z-1}{1}$ and $\displaystyle \frac{x-17}{1}=\frac{y-71}{1}=\frac{z}{0}$. Let the line L intersect the $\displaystyle y z$ plane at the point Q . Another line parallel to L and passing through the point $\displaystyle \mathrm{S}(1,0,-1)$ intersects the $\displaystyle y z$-plane at the point R . Then the square of the area of the parallelogram PQRS is equal to $\displaystyle \_\_\_\_$.