# Parallel Worlds (really just with lines and planes)

Can someone help me understand/visualize why the two true/false questions below are false? I thought they were true.

True or False 2. Two lines perpendicular to a third line are parallel. CORRECT ANSWER: false

I'll respond quickly!

EDIT: Deleted one because I figured it out after typing it in!

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"Two lines perpendicular to a third line are parallel." - in the plane, true; in space, false. See for instance this related question. –  Ｊ. Ｍ. Sep 29 '11 at 1:52
Omg, duh moment! Thank you! –  user13327 Sep 29 '11 at 1:56
If you have Mathematica: Graphics3D[{Line[{{0, 2, 1}, {0, -2, 1}}], Line[{{2, 0, -1}, {-2, 0, -1}}], Line[{{0, 0, 2}, {0, 0, -2}}]}, Boxed -> False] –  Ｊ. Ｍ. Sep 29 '11 at 2:01
well, that had be true only in context of euclidean geometry @ silver –  Bhargav Sep 29 '11 at 2:07