Precalculus – Vector Word Problems NOTES Name: Warm – Up Write a vector for each of the following diagrams in terms of its components. a) b) A vector with magnitude of 60 and a bearing of S 19W. 41 800 mi EXAMPLES 1) Without wind, an airplane travels 200 miles per hour at a bearing of 350º. If there is a 60 mph wind at a bearing of 300º, find the actual speed and bearing of the plane. 2) A boat is traveling 20 km/h in the direction 40º east of south. The current has a direction of 70º east of south at 5 km/h. Find the actual speed of the boat and the direction it is going. 3) A bird flies 15 mph at a bearing of S20E as a result of an 8 mph wind blowing 20 west of south. What speed and direction would the bird fly if there was no wind?