The route followed by a hiker consists of three displacement vectors A, B, and C. Vector A is along a measured trail and is 1550m in a direction 25.0 north of east. Vector B is not along a measured trail, but the hiker uses a compass and knows that the direction is 41.0 east of south. Similarly, the direction of vector C is 35.0 north of west. The hiker ends up back where she started. Therefore, it follows that the resultant displacement is zero, or A + B + C = 0. Find the magnitudes of a) vector B and b) vector C.