Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Need help finding equation of a plane

  1. Apr 6, 2008 #1
    1. The problem statement, all variables and given/known data

    Hi,

    So my question is:

    Find the equation of the plane which contains the point (0,1,3) and the line:

    (x,y,z) = (-1,0,-2) + t(1,-3,-1)

    It has to be in the form Ax+By+Cx=D. D has to be positive

    2. Relevant equations

    see above

    3. The attempt at a solution

    the only thing I know right now is that the plane has the direction vector of (1,-3,-1) because this plane is parallel to the line. And that could possibly be vital to finding the solution. But I have absolutely no idea where to go from there. So I hope you guys can help me out with this, thanks!
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Apr 6, 2008 #2
    You know one direction vector, that is right.
    This alone however is not enough to specify the plane you're lookng for.

    What do you need to uniquely specify a plane?

    For a line for example, two points would do.
     
  4. Apr 6, 2008 #3
    See Pere Callahan's Post.
    Addition:
    1) Don't go straight for Ax+By+Cz+D = 0
    2) hint: you need to know what's the vector equation of a plane
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook