MCV 4U Unit 6 Test Lines and Planes Date_ Name: x = 4 -s+t 5 . Find a vector perpendicular to the plane n = ) y = 1+ s -t z =1+s+t a) [1, -3, -4] b) [5, 5, 0] c) [2, 1, 1] d) none of these 6. Which is a correct direction vector for the 2-space line: Px - Qy - R = 0 a) [P, Q] b) [P, - Q] c) [Q, P] d) none of these 7 . Determine the point that lies on the line L: [x, y, z] = [-1, 3, 5] + t [2, -1, -2] a) (-7, 5, 4) b) (- 7, 0, -1) c) (-7, 6, 11) d) none of these x = 6 -t x =2+s 8. Find the intersection point of these lines: } y = 2 and y = 1 +s z =7-t z = 3+s a) (3, 2, 4) b) (2, 1, 3) C ) (6, 2, 7) d) none of these 9 . Determine how the following planes intersect: m1: x - 2y + 4z + 6 = 0 and 12: 2x - 4y + 8z + 12 = 0 a) in a line b) are coincident c) in a point d) none of these 10. Determine how the following planes intersect: m: x - 2y + 4z + 6 = 0 and 12: 3x -6y + 12z + 16 = 0 a) in a line b) are coincident c) in a point d) none of these True False. Please use CAPITAL letters. 11 . If two n