1. The problem statement, all variables and given/known data A plane flies 600km/h south. The plane encounters a southwestern wind of 100km/h. 2. Relevant equations What is the velocity (magnitude and direction) of the plane 3. The attempt at a solution What I did was break the 100km southwestern vector into its components. 100*cos45 = 70.71 (45 because southwestern wind is 45deg?). This will be both north and east component since it is 45 45 90 triangle that is being used. Then I subtract 70.71 north component from 600 original vector = 529.29 Using the new 529.29 south component, and the remaining east pointing 70.71 component, I use phythagoras to find the resulting velocity vector. I get 534. Answer is 543. As for the heading, I get 7.61deg, which is inline with the answer.