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Skew lines never intersect. If two lines intersect, then they are known as "intersecting lines", not skew lines.
Two non-parallel lines in space that do not intersect are called skew lines. The skew line symbol is a short horizontal bar above the two identifying letters.
No, skew lines cannot be in the same plane, since they do not have a point on common. Two lines intersect if they lie in a common plane, and by definition, these intersecting lines are not 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.
no