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Math Help - Solving implicit equation of a plane

  1. #1
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    Solving implicit equation of a plane

    Hello,

    Can someone tell me if what I am doing is correct. I am trying to solve this equation of 0 = n ( p - p0 ) where n, p, and p0 are points on the plane. Assume this is a 2D dimension (x,y). Is this the correct way of calculating this equation.

    0 = nx (px - p0x) + ny (py - p0y)

    Purpose: I am trying to find if point p resides on the positive or negative side of the plane.

    Only help if you know the answer please.

    Thanks
    Last edited by kouma; October 12th 2011 at 02:04 PM.
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  2. #2
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    Re: Solving implicit equation of a plane

    I don't want to pick at you but...

    Quote Originally Posted by kouma View Post
    Hello,

    Can someone tell me if what I am doing is correct. I am trying to solve this equation
    what exactly do you want to solve?
    of 0 = n ( p - p0 ) where n, p, and p0 are points on the plane.
    I assume that the term on the RHS of the equation should be a product. But the product of points is not defined.
    For me the equations looks like an equation of a line(of a plane) in normal form in 2D (3D), where \vec n, \vec p, \overrightarrow{p_0} are vectors.

    Assume this is a 2D dimension (x,y). Is this the correct way of calculating this equation.

    0 = nx (px - p0x) + ny (py - p0y)

    Assuming that n_x, n_y, ... are the components of the vectors \vec n, ... then this transformation is the correct scalar product of vectors. But I still don't know why you are doing this!

    Purpose: I am trying to find if point p resides on the positive or negative side of the plane.

    I don't know the positive or negative side of a plane. About the y-axis, about the x-axis, about what?

    Only help if you know the answer please.
    My reply isn't an answer because you didn't post a question!

    Thanks
    If you want to get some help from us, you should be more precise and more specific.
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