The foot of the perpendicular drawn from the origin to the plane x+y+z=3 is

Step-by-step solution

Given equation of plane x+y+z=3 Let point P is (0,0,0) and point Q is the foot of perpendicular drawn from point P on the plane. Since, PQ is perpendicular to the plane, so direction ratio of line PQ 1,1,1 . Equation of line P Q , x-0 1 = y-0 1 = z-0 1 = (x, y, z)=( , , ) As point Q lies on the given plane. + + =3 =1 Hence, Co-ordinate of point Q =(1,1,1) .