In the following example find the distance of each of the given points from the corresponding given plane:
pointPlane(2,3,−5)x+2y−2z=9
We know that the distance between a point P(x1,y1,z1) and a plane Ax+By+Cz=D is
d=Ax1+By1+Cz1−D√A2+B2+C2 ...(i)
The given points is (2,3,-5) and the plane is x+2y-2z-9=0
∴ From Eq.(i),
d=|2+2×3−2×(−5)−9|√12+22+(−22)=|2+6+10−9|√1+4+4=9√9=93=3 units