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skew lines are noncoplanar lines, which means they aren't parallel and they also don't intersect   skew lines do not intersect and are not coplanar.
The line through segment AD and the line through segment B 1 B are skew lines because they are not in the same plane. A fibration of projective space by skew lines on nested hyperboloids. In three-dimensional geometry, skew lines are two lines that do not intersect and are not parallel. A simple example of a pair of skew lines is the pair of lines through opposite edges of a regular tetrahedron. Two lines that both lie in the same plane must either cross each other or be parallel, so skew lines can exist only in three or more dimensions. Two lines are skew if and only if they are not coplanar.