The route followed by a hiker consists of three displacement vectors a,b,and c Vector a is along a measured trail and is 1410 m in a direction 35.0 ° north of east. Vector b is not along a measured trail, but the hiker uses a compass and knows that the direction is 26.0 ° 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 (a) vector b and (b) vector c .