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No. Normally, two lines will uniquely identify a plane, unless they happen to be parallel. If you add a third line, it will usually not be in the same plane.

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Not quite. Two lines that meet will uniquely identify a plane. But you can have lines that are neither coplanar nor parallel.

For example, consider a cube and think of the line defined by the front bottom and one of the back verticals. Neither parallel, nor coplanar.

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Q: Are three lines always coplanar
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