Answer Happy

Directions: Answer all questions on the paper provided. Please provide full details and show all work. 1) A hiker travels 2 km due east of his starting point. Then he travels 1 km northwest. Finally, he travels 3 km due north. a) How far is the hiker from his starting point after the 3 displacements and in what direction? b) Draw the three displacement vectors to scale and add them graphically. 2) Find the magnitude and direction of A, B and A+B for A = -41-7j and B=3i-2j. 3) Describe the following vectors using the unit vectors i and j. a) A velocity of 10 m/s at an angle of elevation of 60 degrees. b) A vector A of magnitude A = 5m and 8 = 225 degrees. c) A displacement from the origin to the point x = 14 m and y=-6 m. 4) A stationary radar operator determines that a ship is 10 km south of him. An hour later the same ship is 20 km southeast of him. If the ship moved at a constant velocity and always in the same direction. What was its average velocity during this time in both magnitude and direction?