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

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

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

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

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

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

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.

A line, or intersecting planes.

Yes, the intersection of 2 planes is a line.

The intersection of two planes is a line.

line

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

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

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

The intersection of two planes forms a line.

If two distinct planes intersect, therefore their intersection is 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.

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