CONCEPT: Perpendicular distance of a plane
ax+by+cz+d=0 from a point
P(x1,y1,z1) is given by:
d=|| CALCULATION: Let
A(x,y,z) be the foot of the perpendicular drawn fromthe origin to the plane
x+y+z=3.
As we know that, the perpendicular distance of a plane
ax+by+cz+d=0 from a point
P(x1,y1,z1) is given by:
d=|| So, the distance betweenthe origin and the plane
x+y+z−3=0 is given by:
d=||==√3 So, this means that the length of the line joining the points origin and
A is
√3 As we can see that from the given options, if
A=(1,1,1)then the distance between the points origin and
A is
√3 Hence, correct option is 3 .