Q: What are planes that do not intersect?

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No, planes intersect at a line.

parallel planes

They intersect at a point

No, horizontal planes run parallel to each other, so they do not intersect, but two vertical planes can intersect. Imagine the pages of a books as several planes. When you stand the book up, they are all vertical, but they all intersect at the book spine.

Yes, it is possible for three distinct planes to intersect at a line.

Related questions

No, planes intersect at a line.

Two planes intersect at a line

yes, three planes can intersect in one point.

No, two planes do not intersect in exactly one plane unless the planes are exactly overlapping, making one plane. In Euclidean Geometry two planes intersect in exactly one line.

parallel planes

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

No, 2 planes may only intersect at a line, a plane, or not at all. THREE planes may intersect at a point though...

They intersect at a point

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.

No, horizontal planes run parallel to each other, so they do not intersect, but two vertical planes can intersect. Imagine the pages of a books as several planes. When you stand the book up, they are all vertical, but they all intersect at the book spine.

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.

Two distinct planes will intersect in one straight line.