Now we can write an equation for unknown G, based on the equation of the plane.

1: UNV(1)*G(1)+UNV(2)*G(2)+UNV(3)*G(3)=Const_ABD

So far so good, but we still do not know the distance from F to G. We will call it L. That is another equation

Equation1 : (UNV)*L = (F-G) % that is a vector with 3 elements

AS we have seen before, that equation can be split into three equations.

Equation 2 : UNV(1)*L=F(1)-G(1) % X demension

Equation 3 : UNV(2)*L=F(2)-G(2) % Y Demension

Equation 4 : UNV(3)*L=F(3)-G(3) % Z demnsion

So, now we have four equations and four unknowns are [G(1),G(2),G(3)] and L.

On a seperate peice of paper, organize the four equations into standard format. That is L and the components of G on the left side, while Const_ABD and the components of F are on the right side.

In Matlab, create the array of coefficents (''Aye""), the array of constants("Bee") and find the answers (''EKS") by reverse division ("the backslap").

G= [ ___,____,___]

L=