After half hour of undisrupted fly since the moment of taking off, the pilot of a light

plane notices that her plane starts to drift off course due to a wind. According to the

Pitot meter and other on-board equipment, the wind is from Northeast with a speed

100 km/h. The plane's initial velocity is 20.5 degrees North of East and 280 km/h.

Choose East as positive i and the North as positive j, please

a) use unit vectors ( i and j) to describe the initial velocity of the plane,

b) use unit vectors to describe the velocity of the wind,

c) use unit vectors to describe the resultant velocity of the plane under the wind.

d) In another half hour, what is plane's location with respect to its departure point?