EQUATION OF PLANES

Equation of Plane in several Forms:

• General equation of a plane is ax + by + cz + d = 0

• The equation to the plane passing through P(x1, y1, z1) and having direction ratios-

• (a, b, c) for its normal is a(x – x1) + b(y – y1) + c (z – z1) = 0

• The equation of the plane passing through three non-collinear points (x1, y1, z1),

• The equation of the plane whose intercepts are a, b, c on the x, y, z axes respectively is 
x/a + y/b + z/c = 1 (a b c ≠ 0)

• Equation of YZ plane is x = 0, equation of plane parallel to YZ plane is x = d.

Equation of ZX plane is y = 0, equation of plane parallel to ZX plane is y = d.

Equation of XY plane is z = 0, equation of plane parallel to XY plane is z = d.