In each of the following cases, determine the direction cosines of the normal to the plane and the distance from the origin.(a) `z = 2` (b) `x + y + z = 1` (c) `2x + 3y z = 5`(d) `5y + 8 = 0`

In each of the following cases,determine the direction cosines of the normal to the plane ned its distance from the origin: 5y+8=0

Determine the direction cosines of the normal to the plane and its distance from the origin: 2x-3y+4z-6=0

The direction cosines of the normal to the plane x + 2y - 3z + 4 = 0 are

In the following cases, find the coordinates of the foot of the perpendicular drawn from the origin.(a) 2x + 3y + 4z - 12 = 0 (b) 3y + 4z - 6 = 0 (c) x + y + z = 1 (d) 5y + 8 = 0

What are the direction cosines of the normal to the plane 4x+12y+3z=65? Also find the lenth of perpendicular from the origin to the plane.

The direction cosines of the line x-y+2z=5, 3x+y+z=6 are

An equation of a plane parallel to the plane x-2y+2z-5=0 and at a unit distance from the origin is

Find the distance of the plane 2x + 5y + sqrt7z + 12= 0 from the origin.

In the following cases, find the distance of each of the given points from the corresponding given plane. Point Plane(a) (0, 0, 0) 3x- 4y + 12 z = 3 (b) (3, -2, 1) 2x y + 2z + 3 = 0 (c) (2, 3,-5) x+2y-2z=9 (d) (-6,0,0) 2x-3y+6z-2=0

Write the distance of the following plane from the origin: 2x-y+2z+1=0