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Equations of a Plane

  1. Apr 2, 2012 #1
    1. The problem statement, all variables and given/known data

    Determine vector and parametric equations for the plane containing the point A(2, 3, -1) and parallel to the plane with equation (x, y, z) = (2, 1, -3) + s(5, 2, -1) + t(3, -2, 4). Show your work.

    2. Relevant equations

    3. The attempt at a solution

    I think my answer is correct but it seems to simple to be right:

    Just sub in a(2,3,-1) into (x, y, z) = (2, 1, -3) + s(5, 2, -1) + t(3, -2, 4) as the point.

    so:

    (x,y,z)=(2,3,-1) + s(5,2,-1) + t(3,-2,4)
    (x,y,z)=(2+5s+3t, 3+2s-2t, -1-s+4t)
    x=2+5s+3t
    y=3+2s-2t
    z=-1-s+4t

    Any help is appreciated thank you
     
  2. jcsd
  3. Apr 2, 2012 #2

    tiny-tim

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    Science Advisor
    Homework Helper

    Hi Buzzlastyear! :smile:
    Yes, that's fine for the parametric equation. :smile:

    You still need the vector equation (with dot or cross product). :wink:
     
  4. Apr 2, 2012 #3
    Thank you!
     
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