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Can 3 planes intersect at only 1 point?

Updated: 4/28/2022
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6y ago

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No, they can intersect at infinitely many points.

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6y ago
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Q: Can 3 planes intersect at only 1 point?
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Can two different planes intersect a line?

Yes, there are three ways that two different planes can intersect a line: 1) Both planes intersect each other, and their intersection forms the line in the system. This system's solution will be infinite and be the line. 2) Both planes intersect the line at two different points. This system is inconsistent, and there is no solution to this system. However, both planes will still be intersecting the same line, albeit at different locations on the line. 3) Both planes intersect each other, but their intersection does NOT form the line in the system. However, if the line in the system intersects the planes' intersection, then they will all intersect a single point. The solution will be finite and be a single point. There are also 3 ways two different planes WON'T both intersect a line. 1) The two planes and the line are all parallel to each other, and none of them intersect each other. 2) The line is parallel to one plane, but intersects the other plane. 3) The same as #2, but now the line is parallel to the other plane and intersects the one plane.


Can 3 lines intersect at only 1 point?

Assuming that the none of the lines are parallel, they can intersect (pairwise) at three points. Otherwise, the question is tautological.


In space how many planes can be perpendicular to a given line at a given point?

only 1


I have to prove if two lines intersect then they intersect in no more than one point I have to assume that lines intersect in MORE than one point i have to prove tht they intersect MORE than 1 wrong?

wrong!


Given a line and a point on that line how many different planes contain both of them?

1

Related questions

How many planes can intersect at a point?

1


Can 3 lines only intersect in only 1 point that?

No, that is not true.


Can two different planes intersect a line?

Yes, there are three ways that two different planes can intersect a line: 1) Both planes intersect each other, and their intersection forms the line in the system. This system's solution will be infinite and be the line. 2) Both planes intersect the line at two different points. This system is inconsistent, and there is no solution to this system. However, both planes will still be intersecting the same line, albeit at different locations on the line. 3) Both planes intersect each other, but their intersection does NOT form the line in the system. However, if the line in the system intersects the planes' intersection, then they will all intersect a single point. The solution will be finite and be a single point. There are also 3 ways two different planes WON'T both intersect a line. 1) The two planes and the line are all parallel to each other, and none of them intersect each other. 2) The line is parallel to one plane, but intersects the other plane. 3) The same as #2, but now the line is parallel to the other plane and intersects the one plane.


What is the minimum number of times two planes can intersect?

1


How many bases does a hexagonal pyramid has?

It has 1 hexagonal base and 7 faces (hexagonal base and 6 triangular planes that intersect at a point at the top). It is convex.


How where when do science and social studies intersect?

they intersect at point (1,-2)


Can 3 lines intersect at only 1 point?

Assuming that the none of the lines are parallel, they can intersect (pairwise) at three points. Otherwise, the question is tautological.


Do perpendicular lines intersect at a single point?

they intersect 1 point at a 90 degree angle at all sides


In space how many planes can be perpendicular to a given line at a given point?

only 1


I have to prove if two lines intersect then they intersect in no more than one point I have to assume that lines intersect in MORE than one point i have to prove tht they intersect MORE than 1 wrong?

wrong!


Will the graph of a system of parallel lines intersect at exactly 1 point?

Parallel lines don't intersect, no matter how many of them there are.


Can 2 rays intersect in more than 1 point?

Yes.