A. Convert the following Vector from Standard form to component form 1. A = 30 m , East 2. B = 20m/s, 450 South of West 3. C = 50 N, Northeast 4. D = 100 Ns, 60 South of East B. Convert the following Vector from component form to Standard form 1. E = (8, 15) 2. F = (12, -16) 3. G = (-4, -4) C. Solve the following: 1. The bus moves from location A to B, then going to C. If B is lo- cated 5 km due east from A, and C is 10 km, 60. North of East as measured from B. What is the vector sum (displacement) from A to C? 2. The forces acting on awooden block are F1 = (3, -4) and F2 = 10 N, East. What is the net force acting on the block express in unit vector form? Emman was chosen by a TV show to win a latest model of a Ferrari but in one condition; he must find a key somewhere on the ONHS field using only the given materials- protractor, meterstick, compass, field actual sketch, cal- culator, and shovel. He should locate the key before the 20-minute time runs out. There are only five clues given: 1. The center of basketball court is your origin 2. A=20 m, 30 N of E 3. B= (-10m, 20m) 4. C= -201 - 40j 5. The location of the key is at the endpoint if you walk each of the vector continuously one after the other Based on the given values, answer the following questions: 1. What is the best vector operation that describes the location of the key from the origin? A. A-B + C C. A+B+C B. A-B - C D. A + B - C 2. What is the exact location (in three significant figures) of the key from the origin? A. 20.0 m, 15.5. S of W C. 38.6 m, 15.0 S of E B. 24.8 m, 23.8 S of W D. 47.3 m, Northwest 3. If assumed that Emman do the solving, planning, and/ or sketching for 15 minutes before he start walking, and assumed that he can walk 10m in 1 minute, what is the least time he will walk to reach the point where the key is located? A. 2 minutes B. 3 minutes C. 4 minutes D. 5 minutes