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 April 21st, 2013, 01:34 PM #1 Senior Member   Joined: Aug 2011 Posts: 149 Thanks: 0 On which conditions are planes parallel? Could anyone tell me how I could find out on which conditions planes a1x+b1y+c1z+d = 0 and a2x+b2y+c2z+d2 = 0 dont have common points? Logic tells me that planes dont have common points when they are parallel. If I am not mistakesn planes are parallel if and only if their normals are parallel but how do I set conditions. I mean how would this exact equation/equation system look like? Or what do I need to do with that problem?
 April 21st, 2013, 02:09 PM #2 Global Moderator     Joined: Nov 2009 From: Northwest Arkansas Posts: 2,766 Thanks: 4 Re: On which conditions are planes parallel? $(a_1,b_1,c_1)= \lambda (a_2,b_2,c_2)$
April 21st, 2013, 04:39 PM   #3
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Re: On which conditions are planes parallel?

Quote:
 Originally Posted by The Chaz $(a_1,b_1,c_1)= \lambda (a_2,b_2,c_2)$
and

$d_1 \neq \lambda (d_2)$

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