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Q: If two planes intersect then their intersection is a line Two planes are intersecting?
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If two planes intersect what is their intersection called?

A line. When two planes intersect, their intersection is a line.


What is the intersection of two planes?

If there are two unique, non-parallel planes in space, they will intersect, and their intersection will be a line.


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.


Is it true that three planes can intersect in only one point?

The intersection of three planes can be a plane (if they are coplanar), a line, or a point.


Can a given line be in two planes?

Two planes intersect at a line. The line where they intersect pertains to both planes. In the same manner, if infinitely many planes intersect each other at the same line, then that line pertains to the infinitely many planes.

Related questions

Can intersecting planes always intersect in exactly one point?

The intersection of two planes is never a point. It's usually a line. But if the planes have identical characteristics, then their intersection is a plane. And if the planes are parallel, then there's no intersection.


If two planes intersect what is their intersection called?

A line. When two planes intersect, their intersection is a line.


If two planes intersect then the intersecetion is called?

A line, or intersecting planes.


Two planes intersect in a line?

Yes, the intersection of 2 planes is a line.


What do you call two planes that intersect?

Two planes that intersect are simply called a plane to plane intersection. When they intersect, the intersection point is simply called a line.


What occurs when two planes intersect?

The intersection of two planes is a line.


If two planes intersect describe the intersection?

line


What is the intersection of two planes?

If there are two unique, non-parallel planes in space, they will intersect, and their intersection will be a line.


Can Two planes can intersect in exactly one point?

The intersection of two planes is a line. (or a massive explosion...lol)


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.


How many planes must intersect to form a line?

The intersection of two planes forms a line.


What is the intersection of two cor planar?

If two distinct planes intersect, therefore their intersection is a line.