1. A car travels 20 miles east, then turns northeast and travels for 15 miles at an angle of 35. a. Find the components of the second vector (the one at 35). b. What is the magnitude of the displacement from the original position? 0. What direction is the car traveling in? (In other words, nd the angle.) 9 9 2. Given vectors A = -5i + 6j + 2k and B = 3i + 3j 3k: 9 9 a. Find the vector A B. Express it in terms of unit vectors. 9 9 b. Find the magnitude of A B. 9 9 c. Find the vector cross product A x B. 3. A man takes his family on a vacation. He drives from Los Angeles to Phoenix which is a distance of 590 kilometers which he covers in 5 hours. Aer spending 2 hours in Phoenix, he then drives back with his family toward Los Angeles and winds up in Blythe, which is 234 kilometers from Phoenix. The drive from Phoenix to Blythe takes 2.5 hours. 3. Find the distance covered and the family's displacement for the trip. b. Find the average speed and the average velocity for the trip