Apilot flies her route in two straight-line segments. the displacement vector a for the first segment has a magnitude of 260 km and a direction 30.0o north of east. the displacement vector b for the second segment has a magnitude of 176 km and a direction due west. the resultant displacement vector is r = a + b and makes an angle θ with the direction due east. using the component method, find (a) the magnitude of r and (b) the directional angle θ.