A line can be perpendicular to both the Plane at the same time(1 Point)TrueFalse
Question
A line can be perpendicular to both the Plane at the same time
(1 Point)
True
False
Solution
Answer
False
Explanation
In geometry, a line can be perpendicular to a plane, which means it intersects the plane at a right angle (90 degrees). However, a single line cannot be simultaneously perpendicular to two different planes unless those planes are parallel to each other. If the two planes are parallel, then indeed, a line can be perpendicular to both. But if the two planes are not parallel, the only way a line could be perpendicular to both at the same time is if the line intersects at the same point, which is not generally possible in three-dimensional space. Therefore, the statement that a line can be perpendicular to both planes at the same time is not universally true. Hence the answer to the question is False.
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