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Can two planes contains the same line?

Updated: 9/17/2019
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9y ago

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Yes. A line can be the intersection of two planes, or any number of planes.

A real-world example would be the central axis (axle) of a paddlewheel on a steamboat, which would be coplanar with all of the planes represented by the individual paddles.

A single line is similarly the intersection of perpendicular planes.

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11y ago
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Q: Can two planes contains the same line?
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Related questions

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.


How many planes can contain two given points?

If 2 points determine a line, then a line contains 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.


Angle formed by intersecting planes?

A line. Unless the two planes are the same, in that case a plane.


If two planes are perpendicular to the same line then they are?

...parallel to each other.


Do two planes intersect at a point or a line?

Two planes intersect at a line


Can two planes intercept in a segment?

NO, but they can intercpet in a line which is not the same as a segment of course.


If two planes intersect what is their intersection called?

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


Is a line created when two planes intersect?

A line is the intersection of two planes. The angle between the planes is called the "dihedral angle".


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.


Two planes intersect in a line?

Yes, the intersection of 2 planes is a line.


What occurs when two planes intersect?

The intersection of two planes is a line.