Three Dimensional Geometry: JEE Main 2026 Mathematics question

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