The hyperplane x - y + 2z - 3w = 18 divides 4-dimensional space into two half-spaces.

The point (x, y, z, w) = (1, 1, 2, 3) is not on the hyperplane, so it is in one of the half-spaces.

Which of the following points are on the same side of the hyperplane (i.e., the same half-space as the point (1, 1, 2, 3)? Choose all that apply.

Group of answer choices

(30, 0, 0, 0)

(-2, 1, -1, 4)

(0, 1, 0, 0)

(1, 1, 1, 1)

(12, 6, 12, 0)

(1, -2, 6, -6)