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