Find the point on the plane x+y+z=1x+y+z=1x+y+z=1 closest to the origin.
(1/3,1/3,1/3)(1/3, 1/3, 1/3)(1/3,1/3,1/3)
(1,0,0)(1, 0, 0)(1,0,0)
(1/2,1/2,0)(1/2, 1/2, 0)(1/2,1/2,0)
(0,0,1)(0, 0, 1)(0,0,1)