3D Line Equations and Skew
Hard
Parallelogram Area Perpendicular Lines
Let a line L passing through the point P(1, 1, 1) be perpendicular to the lines 
and 
. 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 _____.
and . 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 _____.