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11 votes
11 votes
In space, how many planes can be perpendicular to a given line at a given point on that line in space?A. 0B. infinitely manyC. 1D. 3

User Anton Bessonov
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1 Answer

19 votes
19 votes

(Assuming that space is only tridimensional).

Imagine a string line where there is just a single knot in the middle. The single knot represents that given point stated in the question.

And you have a paper with you that you want to use to cut that line through the point perpendicularly, which means a 90-degree angle. There's only one paper that can do that because the rest of the paper will be slightly angled to the line. Therefore, the answer to this question is 1 only or Option C.

In space, how many planes can be perpendicular to a given line at a given point on-example-1
User Maheryhaja
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