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Two lines that lie on different planes but are not parallel.
It means to poke a little hole in something. That's why something that goes all the way through is a "skewer" because it's skewer than a skew.
There is no such thing as a skew plane - in isolation. It can only be skew with reference to something else.
No. Skew lines do not intersect
Skew lines never intersect. If two lines intersect, then they are known as "intersecting lines", not skew lines.