Q: Two lines in different planes that do not intersect and are not parallel are called?

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They may be either parallel or skew.

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.

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.

If the lines are in the same plane and never intersect they are always parallel. Two line can not intersect and be parallel if they are in different planes though. Take a cube for example, if you have one Sid of it and take the edge and then go to the opposite side and make a horizontal line they will never intersect but are also not parallel.

We don't think so. We reasoned it out like this: -- Two planes either intersect or else they're parallel. -- If two planes intersect, then they're not parallel. -- In order for the third one to avoid intersecting either of the first two, it would have to be parallel to both of them. But if they're not parallel to each other, then that's not possible. If the third plane is parallel to one of the first two, then it's not parallel to the other one, and it must intersect the one that it's not parallel to.

Related questions

Those are parallel planes.

They may be either parallel or skew.

They're either parallel lines or skew lines.

parallel planes

parallel

They are called skew lines. Explanation: In 3 space, parallel lines must never intersect AND must be in the same plane. If they fail to intersect and are in different planes we call them skew lines.

skew lines

No. By definition, planes can be extended in all directions to infinity. If they are not parallel, they will intersect somewhere.

No. Consider two adjacent faces on a cuboid. Both planes are parallel to the edge at which the intersect. But the fact that they do intersect illustrates that they are not parallel.

No

Parallel

No, they are either parallel, or they intersect