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1. Which of the following equations represents a vector equation of a line having a direction vector m = (1, -2) and passing through the

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1. Which of the following equations represents a vector equation of a line having a direction vector m = (1, -2) and passing through the point P. (3, 5)? a) r = (1, -2) + t(3,5) tER c) r = (1, -2) + t(-3, -5) tER b) r = (3, 5) + t(1, -2) tER d) ) r = (-1,-2) + t(-3, -5) tER e) None of the above 2. Which of the following Cartesian equations determines a line with normal vector n = (3,4) that passes through the point Po (1, -1)? a) 4x + 3y - 1 = 0 c) 3x + 4y - 1 = 0 b) 4x + 3y + 1=0 d) 3x + 4y + 1 = 0 e) None of the above 3. Which of the following is a direction vector for the plane with Cartesian equation 3x - 2y - 5z = 0? a) m = (3, -2, -5) c) m = (-1, 1, 1) b) m = (1, -1, 1) d) m = (3, 2, 5) e) None of the above 4. Determine the parametric equations for the line passing through the points P(-1, -3) and Q (3, 5). a) x = 2t - 1, y = 4t - 3, tER c) x = t - 1,y = 2t - 3, tER b) x = 4t - 1, y = 8t - 3, tER d) x = t - 1,y = -2t - 3, tER

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