2. A car travels 3km due north from the origin, and then 5km northeast. Represent these placements (a) graphically and (b)
analytically. For (b) you need to calculate the magnitude and direction of the resultant vector from the origin. HINT: you will
need to revise the Law of Sines and the Law of Cosines to solve part (b).
3. An aircraft flies in a north-westerly direction at 125km/hr relative to the ground, due to the fact there is a westerly wind
blowing that is 50km/hr relative to the ground. How fast and in what direction would the aircraft have travelled if there was
no wind?
4. Determine the vector having initial point P(x1, y1, z1) and terminal point Q(x2, y2, z2), and find its magnitude.