Skew lines are lines that lie on separate planes. and do not intercept
parallel lines that are sometimes on the same plane, but don't intersect
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Correct! Skew lines can never by be parallel.
Skew Lines. :)
skew lines
Each line can either intersect the edge which is common to the two planes at some point or be parallel to it. If the two lines intersect the edge, but at different points, then the lines are skew. If only one of the lines intersects the edge, then again the lines are skew. If neither of them intersect, then the two lines are parallel to the same edge and so they are parallel to one another so not skew.
Parallel lines would always lie in the same plane. They would need to be skew lines.