answersLogoWhite

0


Best Answer

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.

User Avatar

Wiki User

13y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: Can two different planes intersect a line?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

Do two planes intersect at a point or a line?

Two planes intersect at a line


If two planes intersect what is their intersection called?

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


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.


When two planes intersect do they intersect in a straight line?

Yes. If two planes are not coincident (the same plane) and are not parallel, then they intersect in one straight line.


How many Two planes intersect in exactly?

Two distinct planes will intersect in one straight line.


What occurs when two planes intersect?

The intersection of two planes is a line.


Where do two planes intersect?

In geometry, two planes intersect in a line. The only time this is not true is if the two planes are parallel to each other.


Two planes intersect in a line?

Yes, the intersection of 2 planes is a line.


Do Two planes always intersect in a line?

Some planes are parallel and don't intersect at all. Those that do intersect (and that are not coincident, i.e. the same plane) intersect in a line.


Are there always Two planes intersect in a line?

No. Two planes may be parallel and so may not intersect. Also, any line is the intersection of infinitely many planes, not just two.


When two planes intersect what do they form?

A line


What is formed when two planes intersect?

A line .