Three Dimensional Geometry
Find the equation of the plane that contains the point and is perpendicular to both the planes and . Hence, find the distance of the point from the plane obtained above.
Any plane through is given by
Since it is perpendicular to each of the planes and , we have
On solving (ii) and (iii) by cross multiplication, we have
Putting these value in (i), we get the required equation as
Distance of the point from this plane is given by