 The equation of a plane is Ax + By + Cz + D = 0 where A,B,C,D ∈ R and A or B or C ≠ 0
 A plane passing through the three points A(x_{1}, y_{1}, z_{1}), B(x_{2}, y_{2}, z_{2}) and C(x_{3}, y_{3}, z_{3}) is given by the determinant.
 The equation of a plane which makes intercept a, b, c on the x, y and z axes respectively is
x/a + y/b + z/c =1
 The normal form of the equation of a plane is x cos α + y cos β + z cos γ = p where p is the length of the perpendicular from the origin onto the plane and cos α, cos β and cos γ are the direction cosines of the perpendicular.
 The general equation of a plane passing through the line Ax + By + Cz + D = ax + by + cz + d is
Ax + By + Cz + D + k(ax + by + cz + d) = 0 where k ∈ R
