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Slope of a plane

  1. Jul 12, 2005 #1
    Suppose that there's a flat 3-d plane with points A,B,C,D. The midpoint is X. How do I find the equations for each of the points if the plane is slightly warped (meaning, that its sort slightly of bent). If I were to find the slopes on each side of the plane, would it matter that it's slightly warped?

  2. jcsd
  3. Jul 12, 2005 #2
    What do you mean by 'warped'? If it's not flat then it's not a mathematical plane, and using plane formulas will give you at best approximations.

    The general equation for planes is ax + by + cz = d; if it's not a purely vertical plane then you can express z as a function of x and y, z(x , y) = ux + vy + w, with u = - a/c, v = - b/c, w = d/c.

    edit: A question, are you talking about an infinite (unbounded) plane, or a quadrilateral with corners A,B,C,D?
    Last edited by a moderator: Jul 12, 2005
  4. Jul 13, 2005 #3
    Just a 3d rectangular shaped object with sides A,B,C,D. Warped meaning that when you take a rectangular piece of paper and if you slightly bent the sides at the long ends of the paper, one corner will be higher than its opposite side, up and down.
  5. Jul 13, 2005 #4


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    Then it is not a "flat plane"! Without being given more information about exactly how it is warped, there is no way to calculate anything.
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