(717, #23) Find an equation of the plane passing through the point ( 6, 5, -2) and parallel
to the plane x + y -z + 1 = 0.

Solution:

The normal vector for the plane is < 1, 1, -1 >. The general equation for a plane is:

or

= 0

or

1( x - 6) + 1( y - 5 ) - 1( z + 2 ) = 0

or

x + y - z = 13

by: nl