The route followed by a hiker consists of three displacement vectors a with arrow, b with arrow, and c with arrow. vector a with arrow is along a measured trail and is 1550 m in a direction 25.0° north of east. vector b with arrow 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 vector c is 20.0° north of west. the hiker ends up back where she started, so the resultant displacement is zero, or a with arrow + b with arrow + c with arrow = 0. find the magnitudes of vector b with arrow and vector c with arrow.