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MCV 40 Test 6 Lines and Plan Ontario rio Virtual School K/U C T/1 App 20 10 10 20 Knowledge/Understanding. Please use CAPITAL letters. For
MCV 40 Test 6 Lines and Plan Ontario rio Virtual School K/U C T/1 App 20 10 10 20 Knowledge/Understanding. Please use CAPITAL letters. For full marks in this section you must show rough work in the space near each question. [20 marks] 1. Find the vector equation of the line that passes through A(-2, 3) and B(1, -1) a) [x, y] = [2, -3] + t[-4, 3] b) [x, y] = [-2, 3] + +[3, -4] c) [x, y] = [-1, 1] + +[-3, 4] d) none of these 2. Find a vector equation of a line with slope = -4 and an x-intercept of 4. a) [x, y] = [0, 4] + t[1, -4] b) [x, y] = [4, 0] + +[-1, -4] c) [x, y] = [4, 0] + t[1, 4] d) none of these 3. Find the scalar form of the plane that passes through P(2, -1, -3) and has a normal n = [2, -1, 3]. a) 2x - y + 3z - 14 =0 b) 2x - y + 3z - 4=0 c) 2x - y + 3z + 4=0 d) none of these 4. Which plane contains (0,0,0) and vectors di = [1, 2, -1] and d2 = [-1, 1, -1]. a) xty+ 3z =0 b) x - 2y - 3z =0 c) x + 2y + z=0 d) none of these
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