No
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NO. Perpendicular lines in the same plane alwaysinthersect.
No, that is not true.
Yes (in a Euclidean plane)..
No. Stand in a cuboid room and consider the line joining the floor and the opposite wall. Line 1: the line joining the floor to the wall on your left. Line 2: the line the far wall to the wall to your right. Both these lines are perpendicular to the first, but they are not in the same plane.
Prism