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Homework Help: Change format of equation of plane

  1. Oct 18, 2006 #1
    Hi all, I have a plane defined like this:

    x = 2 +t
    y = 2+t
    z = t

    How do I put it in the format:
    Ax + By + Cz = D?

    I feel stupid! :confused:
     
  2. jcsd
  3. Oct 18, 2006 #2
    So it is the line through (2,2,0) and parallel to the vector v = (1,1,1)
     
    Last edited: Oct 18, 2006
  4. Oct 18, 2006 #3
    Why is it not parallel to the vector v = (1,1,1)?
     
  5. Oct 18, 2006 #4

    radou

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    Homework Helper

    You may want to investigate this: http://mathworld.wolfram.com/Plane.html" [Broken].
     
    Last edited by a moderator: May 2, 2017
  6. Oct 18, 2006 #5

    HallsofIvy

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    Science Advisor

    Well, feel only a little bit stupid!:rolleyes: That's not the equation of a plane! Since x, y, z depend on a single parameter, t, it is the equation of a one-dimensional figure. Since the functions are linear, it is the equation of a line, not a plane.
     
  7. Oct 18, 2006 #6
    Ah ok, thanks for all the help!
     
  8. Oct 18, 2006 #7
    Guess what? Turns out it was a textbook orthographical error. It was supposed to be "line" not "plane." And I was stumped for so long!
     
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