line may not be__________________.(2 Points)Parallel to both the planesParallel to one plane perpendicular to the otherParallel to one plane and inclined to otherPerpendicular to both the planes
Question
line may not be__________________.(2 Points)Parallel to both the planesParallel to one plane perpendicular to the otherParallel to one plane and inclined to otherPerpendicular to both the planes
Solution
A line cannot be perpendicular to both planes.
Here's why:
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If a line is perpendicular to a plane, it means it intersects the plane at a right angle (90 degrees).
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If a line is perpendicular to two planes, those two planes must be parallel to each other. This is because a line cannot intersect two planes at a right angle unless the planes are parallel.
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However, if the two planes are parallel, then they are essentially the same plane (just at different locations), and the line is only perpendicular to one plane, not two different planes.
Therefore, a line cannot be perpendicular to both planes.
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