Find the distance of the point (2, 3, –5) from the plane x + 2y – 2z – 9 = 0.

Given:


* Point : A(2, 3, –5)


* Plane : π = x + 2y – 2z – 9 = 0


We know, the distance of point (x1,y1,z1) from the plane


is given by:



Putting the necessary values


Distance of the plane from A


= 3 units


the distance of the point (2, 3, –5) from the plane


x + 2y – 2z – 9 = 0 is 3 units


3