The route followed by a hiker consists of three displacement vectors A(vector), B(vector), and C(vector). Vector A(vector) is along a measured trail and is 1550 m in a direction 25.08 north of east. Vector B(vector) is not along a measured trail, but the hiker uses a compass and knows that the direction is 41.08 east of south. Similarly, the direction of vector C(vector) is 35.0^o north of west. The hiker ends up back where she started. Therefore, it follows that the resultant displacement is zero, or A(vector) + B(vector) + C(vector) = 0. Find the magnitudes of

(a) Vector B(vector) And

(b) Vector C(vector)?