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Find a Vector parallel to the line of intersection

  1. Sep 21, 2011 #1
    1. The problem statement, all variables and given/known data
    Find a vector parallel to the line of intersection of the planes given by the equations 2x-3y+5z=2 and 4x+y-3z=7.


    2. Relevant equations
    How do I go about this? I know we have two vectors <2,3,5> and <4,1,-3> but where do I go from here?


    3. The attempt at a solution

    I don't know whether I dot this, cross product this. I'm lost as where to go from here.
     
  2. jcsd
  3. Sep 21, 2011 #2

    lanedance

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    note that the line is parallel to both planes. so it is perpendicular to both planes' normals. If you can find the normal of each planes (which you have), how can you use those 2 vectors to find a vector perpendicular to both?
     
    Last edited: Sep 21, 2011
  4. Sep 21, 2011 #3

    LCKurtz

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    I'm sure you mean both planes normals. :wink:
     
  5. Sep 21, 2011 #4

    lanedance

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    cheers, updated it
     
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