Question
Find the distance between the parallel planes:
2x – 3y + z + 3 = 0
and 4x – 6y + 2z + 5 = 0
Solution
The equation of given planes are
2x – 3y + z + 3 = 0 .....(1)
and 4x –6y + 2z + 5 = 0 .....(2)
Let (x1.y1, z1) be any point on plane (1)
∴ 2x1 – 3y1 + z1 + 3 = 0
∴ 2x1 – 3y1 + z1 = –3 ...(3)
Length of perpendicular from (x1, b 1, b1) to plane (2) in
