Cartesian Equation of a Plane calculator

Point A , ,
Point B , ,
Point C , ,
   
Equation of the plane
(given three points)		 x+y+z+=0

There are three points A(x1, y1, z1), B(x2, y2, z2) and C(x3, y3, z3) lying on a plane, Then the plane equation can be found using the following formula

x - x1   y - y1   z - z1  = 0
x2 - x1   y2 - y1   z2 - z1
x3 - x1   y3 - y1   z3 - z1

 

Or A(Ax,Ay,Az),B(Bx,By,Bz),C(Cx,Cy,Cz), the Equation of the plane is ax+by+cz+d=0

Where,

a = (By-Ay)(Cz-Az)-(Cy-Ay)(Bz-Az)

b = (Bz-Az)(Cx-Ax)-(Cz-Az)(Bx-Ax)

c = (Bx-Ax)(Cy-Ay)-(Cx-Ax)(By-Ay)

d = -(aAx+bAy+cAz).

Cartesian plane equation calculation with the three coordinates is made easier here.

 

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