The route followed by a hiker consists of three displacement vectors a, b, and c. Vector a is along a measured trail and is 1550 m in a direction 29.0° 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 22.0° north of west. The hiker ends up back where she started, so the resultant displacement is zero, or a+ b+c = 0. Find the magnitudes of vector b and vector c .
- magnitude of b in m
- magnitude of c in m