Show that the point (1, 2, 1) is equidistant from the planes and
Formula :
where () is point from which distance is to be calculated
Therefore ,
First Plane can be written in cartesian form as
x + 2y - 2z = 5
x + 2y - 2z – 5 = 0
Point = ( 1 , 2 , 1 )
Distance for first plane
Second Plane can be written in cartesian form as
2x - 2y + z + 3 = 0
Point = ( 1 , 2 , 1 )
Distance for second plane
Hence proved.