Vector is along a measured trail and is 1310 m in a direction 27.0 ° north of east. Vector is not along a measured trail, but the hiker uses a compass and knows that the direction is 19.0 ° east of south. Similarly, the direction of vector is 29.0 ° north of west. The hiker ends up back where she started, so the resultant displacement is zero, or + + = 0. Find the magnitudes of (a) vector and (b) vector .