# Thread: Solving implicit equation of a plane

1. ## 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.

Thanks

2. ## Re: Solving implicit equation of a plane

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

Originally Posted by kouma
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 $\displaystyle \vec n, \vec p, \overrightarrow{p_0}$ 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 $\displaystyle n_x, n_y, ...$ are the components of the vectors $\displaystyle \vec n, ...$ 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?

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