1: Add together two vectors: the first has a magnitude of 100 cm and is directed east, the other has a magnitude of 50 cm directed at 45 north of east.

2: Given vectors A = (1, 3) and B = (2, -2). Find the vector C such that A + B + C = 0.

3: A jet takes off at an angle of 20 with respect to the ground. The shadow of the jet, produced by the sun which is directly overhead, moves along the ground at a speed of 430 km/h. Calculate the speed of the jet.

4: Two forces have magnitude of 8 N and 12 N. The angle between them when they are placed tail-to-tail is 40. What is the magnitude of the sum of these two forces