MATLAB: From vertices to Equations of the Plane

vertices

Hi!

I was wondering whether there is a Matlab function which can calculate the equation of a plane from the vertices. Let's say that I have the following three vertices:

(0,0,0), (2,3,6) and (3,1,5)

Then I would like to have a function that gets these vertices as input and gives me the equation of a plane as output, which is 9x+8y-7z+0=0. In fact, I found such a tool online: http://keisan.casio.com/exec/system/1223596129

but I would like to have the same function in Matlab (preferably the one which also can handle more dimensions).

Does such a function exist?

Thanks!

Alex

Best Answer

Hint: you can start with the following and implement the few additional computations required (realizing that a 4th parameter must be computed)..

 >> v1 = [0,0,0] ; v2 = [2,3,6] ; v3 = [3,1,5] ;
 >> n = cross(v2-v1, v3-v1)
 n =
     9     8    -7

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