Mark: 6 Which of the following points lies on the line R = (0,3,1) + t(2,1,1): P(2,4, 2) Q(-2, 2, 1) R(4, 5, 2) S(6,6,2)State a direction vectors for the xz-coordinate plane, and what do all direction vectors in the xz-plane have in common.Why does the vector equation of a plane require two direction vectors? Mark: 6 Describe the four different ways that three planes will not have a common intersection. [Hint: Use a diagram in your explanation]