1) [2K] Determine the distance between the point P(2, -5) and the line L : T = (-4,0) + 1(2, 3), te R. 2) [2K] Determine whether r = -1, y = 3 and 2 = 5 is a solution to the system: a) 4x - 2y + 2= -5 b) x + 3y - 2:=7 3) [GC] Describe 4 of the 6 possible ways in which 3 planes can interact. Draw diagrams to help you. How many solutions does each case give?" 1) Complete the following questions using the following planes: m : 2x + 4y - 6: = 2 12 : 7x - y = 7 Ma : 4x + By - 11= = -1 a) [2K] Determine the normals to each plane. b) [3C] Are any of the planes parallel? Explain. c)[GA] Determine the solution(s) to the system of equations AND describe the way in which these planes intersect (or dont intersect). d) [2K] Let a, be a fourth plane that passes through the points A(2, 0, -1), B(2, 1, 1) and C(-3, 4, 2). Find the Cartesian equation of 14- e) [3A] Find the intersection of m and no (if it exists). f) [3A] Find the distance between as and as : 8x + 16y - 22: = 5. g) [2K] Find the angle between #2 and *3. 5) [2K] Determine the points of intersection between the line L : 7 = (1, 0,2) + *(3, -1, 0). E R and the plane 7 : 3x - y + 2: =4 if any exist. 6) [6T] If m :ity+ = =0 and *2 : x+ 2y + 22 -1 = 0 intersect at a line that lies on the plane as : 2x - y + mz + 3 =0. Find m. 7) [6T] A plane my intersects aj: 4x -2y + 72 - 3=0 at right angles. Two points lie on 12: (3, 2, 0) and B(2, -2, 1). Write a Cartesian equation for 12