Question

You fly east in an airplane for 100 km. You then turn left 60 degrees and fly 200 km. In what direction are you from the starting point

Answer 1

Answer:

North east

Explanation:

r_1 = 100 i

r_2 = 200 (cos60i + sin60j) = 100i + 173.2j

By vector addition

r = r_1 + r_2 = 200i + 173.2j

Distance (Or magnitude) = sqrt(200^2 + 173.2^2) = 264 km

Direction from the starting point is  north of east.