Primarygun Posted July 19, 2006 Share Posted July 19, 2006 IF a and b are on different planes A and B, A//B must a//b? Link to comment Share on other sites More sharing options...
matt grime Posted July 19, 2006 Share Posted July 19, 2006 Draw a picture. Hint, you may as well suppose that A and B are in fact the same plane. Link to comment Share on other sites More sharing options...
Primarygun Posted July 19, 2006 Author Share Posted July 19, 2006 I infer that they may not be parallel. Is it correct? Link to comment Share on other sites More sharing options...
matt grime Posted July 19, 2006 Share Posted July 19, 2006 Can you draw two non-parallel lines in parallel planes? Of course you can. (Note, in 3-d the definition of parallel is that the minimal distance from a point on one line to the other line is constant; it is not that the lines do not intersect.) Link to comment Share on other sites More sharing options...
Rajdilawar S Posted July 19, 2006 Share Posted July 19, 2006 IF a and b are on different planes A and B' date='A//B must a//b?[/quote'] No they are not always parallel. As there is no such condition that if planes are parallel then the points/ lines on them are parallel. Link to comment Share on other sites More sharing options...
BigMoosie Posted July 19, 2006 Share Posted July 19, 2006 They will either be parallel or skew (http://mathworld.wolfram.com/SkewLines.html). Edit: Url fixed, thanks swansont. Link to comment Share on other sites More sharing options...
swansont Posted July 19, 2006 Share Posted July 19, 2006 They will either be parallel or skew (http://mathworld.wolfram.com/SkewLines.html)[/url']. http://mathworld.wolfram.com/SkewLines.html (Markup tag topology error. You have a parenthesis in your url.) Link to comment Share on other sites More sharing options...
Primarygun Posted July 20, 2006 Author Share Posted July 20, 2006 ok thanks guys. Link to comment Share on other sites More sharing options...
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