Show your workfexplain #11 here to get full credit. Vector u: ST has an initial point 5 (14,23) and terminal point T (5.19). Vector vaB has an initial pointA {117) and terminal point B (32,9). Part A: Write u and v in linear form. Show all necessary work. {6 points) Part B: Find 4u -5v. Show all necessary calculations. (5 points} Part C: Given vector t: 16i + 36L use the dot product to determine ift and u are parallel, orthogonal. or neither. Justify your answer. (3 points) Part D: Find another vector vv that has the same relationship to vectort as vector u. Justify your answer. (3 points) Showr your work/explain #12 here to get full credit. A soccer player Kicks a ball with a velocity of 60 mph in a direction of 130 relative to the air. The wind is blowing at 8 mph in a direction of 230\". Part A: Write each of the vectors in trigonometric form. Show all necessary calculations. (6 points) Part B: Find the sum ofthe two vectors. (2 points} Part C: Find the true speed ofthe hall. Round to the thousandth place and show all necessary calculations. (5 points} Part D: Find the true direction of the ball. Round to the nearest degree and show all necessary calculations. (5 points)