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Determining equations for plane with one point and parallel to plane with an equation

  1. Mar 29, 2009 #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
    Vector and parametric
    This a strange equation that I have never seen before because it has 2 parameters: s and t

    3. The attempt at a solution
    I got the parametric equation for the x, y,z equation
    x=2+5s+3t
    y=1+2s-2t
    z=-3-t+4t

    Am I supposed to find the direction vector? In one of my notes is says that the direction vector is perpendicular to the plane's normal vector but I don't know if it applies here?
     
  2. jcsd
  3. Mar 29, 2009 #2

    tiny-tim

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    Hi unknown101! :smile:

    I think what they mean by "vector and parametric equations" is that the vector and parametric equation for the original plane is (x, y, z) = (2, 1, -3) + s(5, 2, -1) + t(3, -2, 4) :wink:
     
  4. Mar 29, 2009 #3
    Re: Determining equations for plane with one point and parallel to plane with an equa

    So would the equation for the new equation be (x,y,z)=(2,3,-1)+s(5, 2, -1) + t(3, -2, 4).
     
  5. Mar 29, 2009 #4

    tiny-tim

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    Yup! :biggrin:
     
  6. Mar 29, 2009 #5
    Re: Determining equations for plane with one point and parallel to plane with an equa

    Thanks a lot:)
     
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