Find the equation of the plane passing through the point (a, b, c) and parallel to the plane
Let the equation of a plane
(1)
Direction ratios of parallel planes are related to each other as
Putting the values from the equation of a given parallel plane,
Putting values in equation (1), we have
(2)
A plane passes through (a,b,c) then it must satisfy the equation of a plane
λ(a.1 + b.1 + c.1)=d
λ(a + b + c)=d
Putting value in equation (2)