Lines, curves, planes, solid shapes are some.
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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.
Skew. * * * * * FALSE. In fact, if they are skew, they must intersect. They have to be parallel for them not to intersect.
Lines that never intersect are parallel.
Coplanar lines that do not intersect are parallel. Non-coplanar lines that do not intersect are called skew lines.
Two planes that intersect are simply called a plane to plane intersection. When they intersect, the intersection point is simply called a line.