Hello I need some help with the following questions. If you could please show me all the steps on a separate sheet of paper that would be great!

1. Using the diagram below, write a. AF in terms of AB b. A in terms of AB and BC. c. BC in terms of AF and EC. D 2. Add the following vectors using trigonometry (i.e. cosine and sine laws). a. 10 N on a heading of [S2 W] and 11 N on a heading of [N31.W]. b. 7 m/s on a bearing of 040 and 2 m/s from a bearing of 325. 3. Add the following vectors using components. a. 8 m/s [N30 E] and 3 m/s [N 60.E]. b. 3 N in a direction 15 south of west and 4 N in a direction 12 east of south. 4. A plane is heading on a bearing of 200 with an air speed of 425 km/h when it is blown off course by a wind of 100 km/h from the northeast. Determine the resultant ground velocity of the plane. 5. A force of magnitude 16 / is the resultant of two forces, one of which has a magnitude of 8 / and acts at an angle of 40 to the resultant. Find the magnitude and direction of the other force. 6. Adam can swim at a rate of 2 km/h in still water. At what angle to the bank of a river must he head if he wants to swim directly across the river and the current in the river moves at a rate of 1 km/h ? 7. Find the unit vector of the following vectors. a) + = (4, 3) b) + = (-8, -5) a