In each of the following cases, determine the direction cosines of the normal to the plane and the distance from the origin.
x + y + z = 1

Question

In each of the following cases, determine the direction cosines of the normal to the plane and the distance from the origin. x + y + z = 1

Philoid · Accepted Answer

The eq. of the plane

x + y + z = 1

Direction ratio of the normal (1,1,1)

This is the form of

lx + my + nz = d (∴ d = Distance of the normal from the origin.)

In each of the following cases, determine the direction cosines of the normal to the plane and the distance from the origin.x + y + z = 1