Find the equation of the plane through (3, 4, –1) which is parallel to the plane
given equation of the plane is
…… (1)
We know that the equation of a plane parallel to given plane (1) is
…… (2)
As given that, plane (2) is passing through the point so it satisfy the equation (2),
(3)(2) + (4)( – 3) + ( – 1)(5) + k = 0
6 – 12 – 5 + k = 0
k = 11
put the value of k in equation (2),
So, the equation of the required plane is,