Could u plz do questions 1 to 11 tryna study for an exam tomorrow!

1. Write each true bearing as a quadrant bearing. a) 027 b) 257 c) 269 2. Points A, B, C, D, E, and F are points on a plane. Write a single vector equivalent to: a) AB + BC + CF b) BA + CE - CA C) DF - DC - CE 3. If x is 3 units with a bearing of 045 and y is 2 units with a bearing of 120, draw a scale diagram of: a) x + y b ) 2 x - y 4. The quarterback on a football team is running 5.0m/s to the West when he throws the ball 20m/s [E50N] relative to himself. Calculate the actual speed and direction of the ball relative to the ground. 5. If A is (8, -7) and B is (5, 16), find a unit vector in the same direction as AB. 6. Calculate the dot product of each pair of vectors. a) a = [-1, 5] and b = [3, 2] b) c = [0, -4] and d = [6, -5] c) e = 51 - 7] and f = 37 + j 7. Find two unit vectors parallel to each of the following vectors: a) [-8, 2] b ) 19 , - 3 , - 5] c) 57 - 7 7+ 2k 8. Determine the value of k which satisfies each of the following conditions: a) [-5, k, 3] and [1, 2, -7] are orthogonal. b) The angle between [6, k, -1] and [3, 4, -2] is 60. c) The magnitude of [2, k, -7] is 8. 9. Find a unit vector perpendicular to both [1,2,-3] and [2, -1, 4]. 10. a = [-1, 5,2], b = [3, 2,-6], and c = [1, -4,-2]. Calculate the following: a) axb b ) a . b x c c ) la - 612 + 2a . 6 - 1612 11. R(1, 1,3), S(3,-3,6) and U(-2,4,7) are three vertices of parallelogram RSTU. a) Find the coordinates of T. b) Find all interior angles of the parallelogram. c) Find the area of the parallelogram