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Line a, b, and c are coplanar, but do not intersect.
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They will all be parallel to each other. Proof: Two lines that are in the same plane do not intersect if and only if they are parallel. Each pair of lines (\((a,b),~(a,c),~\text{and}~ (b,c)\)) is in the same plane, but not intersecting. Therefore, each pair of lines is parallel.
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