Which of the following is a plane that is parallel to the plane 2𝑥 − 2𝑦 − 2𝑧 = −2?

Question

Which of the following is a plane that is parallel to the plane 2𝑥 − 2𝑦 − 2𝑧 = −2?

(x,y,z) = (1,2,3) + t1(1,1,0) + t2(1,0,1)

(x,y,z) • (2,2,2) = -2

(x,y,z) = (2,-2,-2)

4x - 4y = -4 -4z

Answer 1

Only 2 and 4 are planes but none of them is parallel to the given plane. Are you sure your signs are correct?