13. Consider the following ways that three distinct planes can interact: A B E Write your A, B, C, D, E choices in the "Answer(s)" column (write all that apply). Question Answer(s) Which of the above cases are INCONSISTENT? (ie. no points of intersection) Which of the cases have normal vectors that lie in the same plane? 6 Which of the cases will result in a non-zero triple scalar product of the normal vectors (nj xn, . n; # 0) Which of the cases have normal vectors that are parallel? Which of the cases have a line of intersection as their solution? Which of the cases have a point of intersection as their solution? 14. Find the VECTOR, PARAMETRIC, and SYMMETRIC equations of the line through the point (1, 3, 5) and parallel to the line: [x, y, z] = [5, -4, -3] + t[-2, 1, 8]. 6