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Question
planes q and r are parallel. explain how you know lines a and b are skew. becuase the two planes have a a line and a b line
Skew lines are non - parallel and non - intersecting. Since planes \(Q\) and \(R\) are parallel, lines \(a\) and \(b\) (which lie on these parallel planes) cannot intersect. Also, from the figure, they are not parallel.
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Lines \(a\) and \(b\) are skew because they are non - parallel (as their directions are different) and non - intersecting (since they lie on parallel planes \(Q\) and \(R\) which do not meet, so the lines on them cannot meet).