How do you fit a plane to a series of x,y,z coordinate points?

Answer 1

You can write the plain eqn in two forms.
1) point + a(direction vector 1) + b(direction vector2)
--You can obtain 'direction vector 1' by subtracting two of the points and 'direction vector2' by subtracting a different two points.
'a' and 'b' are variable parameters which define all the points along the vector..

2) take the cross product of 'direction vector 1' and 'direction vector 2' to get the normal to the plane..as already mentioned above.

Answer 2

Fit the plan to the three coordinate points. You will always find a plane that goes through a maximum of 3 points. You may not be so lucky with 4 or more points.

Answer 3

You can get the normal vector to the plane of three points by using them to get two vectors in the plane and using the vector cross product.

Answer 4

By drawing a three-dimensional plane with x-, y- and z-axis