IB Precalculus Vectors Test Calculators are allowed on this exam! Use the points A (-2, 4, 3) and B (-1, 3,-4) to answer questions 1-3. 1. Give vector AB 2. Give the magnitude of vector AB 3 . If vectorBC - -3 ), find point C. Use vectors a =-10i - 10j, b = 5i + 5j, and c = -6i - 6j to answer questions 4-6. 4. Show that the vector (_) is perpendicular to vector a. 5. Give the angle between vectors a and b. 6. Find the direction angle for vector c. 14 7. The line LI has equation r = - 4 19 Show that C lies on L1. The vertices of a triangle have the following position vectors: OA = OB = -2 OC = - 3 a. Find AB, BC and AC b . Find |AB|, [BC| and |AC| c. Show that AABC is not a right triangle. d. Find the area of AABC 9. Two lines with equations r1 3 +s ( 3 ) and r 2 = 2 +t 5 intersect at point Find the coordinates of P