vectors using trig rules not components

1. The diagram below represents a rectangular prism. State a single, positive vector equal to each of the following vector sums. 2. Given a' and b , determine Za + b. Quote the angle b relative to a'. Include a rough sketch. 18 cm 36 11 cm 3. Given the following vectors: (Note the bold notation is used to represent a vector.) A = 35 km at N25.E B = 15 km at 10 E of N C = 20 km at 133 Give the magnitude and direction (one decimal place) for each of the following. a) -4B b) B + C c) 2C - A 4. An airplane travels on a bearing of 100 at an airspeed of 190 km/h while a wind is blowing 48 km/h from 220. Find the ground speed of the airplane and the direction of its course over the ground