Show all your algebraic steps to support your answer. Include diagrams and sketches where necessary. All answers must be expressed as exact values unless otherwise stated. 1. An airplane is travelling due north at an airspeed of 250 km/h when it encounters a wind with a speed of 100 km/h and direction of N35E. a) Sketch a labelled diagram. Make sure to include the resultant speed. (1 mark) b) What is the magnitude and direction of the airplane after taking into consideration the wind speeds?