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Python | Sympy Plane.equation() method

Last Updated : 28 Apr, 2025

In Simpy, the function Plane.equation() is used to make equation of a given Plane.

Syntax :  Plane.equation(x, y, z)

Parameters :
x :  optional
y :  optional
z :  optional

Returns : Equation of Plane

Example #1:

Python3

# import sympy, Point3D and Plane
from sympy import Point3D, Plane

# using Plane()

p1 = Plane(Point3D(1, 2, 3), Point3D(4, 5, 6), Point3D(0, 2, 0))
p2 = p1.equation()

print(p2)

Output:

-9*x + 6*y + 3*z - 12

Example #2:

Python3

# import sympy, Point3D and Plane
from sympy import Point3D, Plane

# using Plane()

p3 = Plane(Point3D(1, 2, 3), normal_vector =(2, 2, 2))
p4 = p3.equation()

print(p4)