Find the co-ordinates of the foot of the perpendicular drawn from the origin to the plane 2x – 3y + 6z + 7 = 0.

Asked by Topperlearning User | 4th Jun, 2014, 01:23: PM

Expert Answer:

Let the co-ordinates of the foot of the perpendicular drawn from the origin to the plane 2x – 3y + 6z + 7 = 0 is (x1, y1, z1).

Now, the equation in the normal form is:
Substituting these in the equation of the plane, we get
Hence, the foot of the perpendicular is
 
 

Answered by  | 4th Jun, 2014, 03:23: PM