Question 1: Geometry (10 marks) C. logo 6 a. Which of the following is the definition of a one-to-one function? A. A function with no asymptotes. B. A function that is symmetrical about the 3-axis. C. A function where each output is positive. D. A function where each element of the domain gives a unique output. (1 mark) b. Which of the following is not true? A. loga b xloga c = loga (b + c) B. loga bº = cloga b loga b D. loga a = b (1 mark) c. Which of the following planes is parallel to the plane given by 31-7y + 92 = 22? A. 2x - 4y + 72 = 85 B. 3x + 7y + 92 = -6 C. -3x + 7y - 92 = 0 D. x + y + z = 22 (1 mark) d. Given the vectors a=(-4,3,1) and b = (0, 4, 10), i. Calculate the cross product between vectors a and b. ii . Show that the vector found in part (i) is perpendicular to the vector a. (3 marks) e. Find parametric equations for the line of intersection between the two planes described below: X -- 3 + 2 = 7 - 2x - 29 + 5z = 10 (4 marks)
