Two lines that are not parallel and do not intersect are skew. If the non-intersecting lines are in the same plane then they are parallel.
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SKEW LINES are neither parallel nor intersecting.
skew lines
If the two lines lie in the same plane, and they do not intersect, then they are parallel. If they are not in the same plane, and do not intersect, then they are called skew lines.
Then they are not parallel, nor skew (in 3D).
"skew" lines