Homework SourseWhat is an equation for the plane with a normal vector and c
What is an equation for the plane with a normal vector <1,-1,-1> and containing the point (1,1,1)? use answer H only if a candidate exist but is not listed below.
A) x+y+z=3
B) x-y+z=3
C) x+y-z=3
D)-x+y+z=3
E) x-y+z=1
F) x-y-z=1
G) there is no such plane
H) there is such a plane but it is none of these
A) x+y+z=3
B) x-y+z=3
C) x+y-z=3
D)-x+y+z=3
E) x-y+z=1
F) x-y-z=1
G) there is no such plane
H) there is such a plane but it is none of these
Solution
it is of form x*1 + y*-1 +z*1 = k x-y+z = k put (1,1,1) 1-1+1 = k => k=1 so equation is x-y+z = 1
