Let a line L passing through the point P(1,1,1) be perpendicular to the lines Let the line L intersect the -plane at the point Q. Another line parallel to L and passing through the point S(1, 0, -1) intersects the -plane at the point R. [2026]

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Solution

Q.
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 $y z$ -plane at the point Q. Another line parallel to L and passing through the point S(1, 0, -1) intersects the $y z$ -plane at the point R. Then the square of the area of the parallelogram PQRS is equal to ________ . [2026]

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