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A line can’t be perpendicular to two perpendicular planes at the same time.

A line can’t be perpendicular to two perpendicular planes at the same time.

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asked Jan 10, 2022 in Engineering Drawing by myra (687k points)

A line can’t be perpendicular to two perpendicular planes at the same time.

(a) True

(b) False

I had been asked this question at a job interview.

This intriguing question comes from Projection of Line Perpendicular to one of the Plane topic in division Projection of Lines of Engineering Drawing

engineering drawing
projection of lines
projection of line perpendicular to one of the plane

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1 Answer

+1 vote

answered Jan 10, 2022 by Nathan (1.4m points)
selected Jan 10, 2022 by myra

Best answer

Right choice is (a) True

To explain I would say: Plane is collection of infinite lines the lines present in it will parallel to all the other lines in it. Perpendicular plane is such that the lines present in it will perpendicular to all the lines present in perpendicular plane. So a line perpendicular to one plane will can’t be perpendicular to perpendicular plane.

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