The route followed by a hiker consists of three displacement vectors A. B, and . Vector is along a measured trail and is 1240 m in a direction 36.0 north of east. Vector is not along a measured trail, but the hiker uses a compass and knows that the direction is 33.0 east of south. Similarly, the direction of vector is 27.0 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 3 and (b) vector .