Let a line L passing through the point 
be perpendicular to the lines 
and 
. Let the line L intersect the 
plane at the point Q. Another line parallel to L and passing through the point 
intersects the 
-plane at the point R. Then the square of the area of the parallelogram PQRS is equal to ________ .
Text Solution
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Line 
passes through 
perpendicular to two lines with directions 
and 
.
Direction of 
Line 
Q is intersection with yz-plane ( 
): Setting 
gives 
, so 
Line through 
parallel to 
R is intersection with yz-plane: Setting 
gives 
, so 
For parallelogram 
and 
Area 
Square of area 
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