(1, 2, 3) = (11/5)(3/5, 4/5, 0) + (2/5)(-4/5, 3/5, 0) + (0, 0, 3)
(1, 2, 3) = (3/2)(1, 1, 0) + (1/2)(-1, 1, 0) + (0, 0, 3)