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No, they are either parallel, or they intersect
skew lines
One if the two lines meet, none otherwise. But skew lines do not lie in the same plane, by definition.
two planes intersect in one line, or the planes could be parallel. by the way there is no such thing as skew planes...
No, skew lines are not perpendicular. Perpendicular lines intersect at an angle of ninety degrees, while skew lines never intersect (think in three dimensions or higher).