Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

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!

share|improve this question
3  
"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
2  
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

2 Answers 2

up vote 1 down vote accepted

To clarify here is a picture in 3-Denter image description here

share|improve this answer
    
Nice diagram!!! –  user13327 Nov 1 '11 at 20:28
    
Thanks for your comment. –  Emmad Kareem Nov 1 '11 at 20:51

As others have answered in the comments, this is only true in the plane, not in 3D space.

share|improve this answer

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.