Question
Find the equation of the plane through the line of intersection of the planes x + y + z = 1 and 2x + 3y + 4z = 5 which is perpendicular to the plane x- y + z = 0. Also find the distance of the plane obtained above, from the origin.
Solution
Equation of the plane passing through the intersection of the planes x+y+z=1 and 2x+3y+4z=5 is:
Thus, the equation of the plane is:
