On a safari, a team of naturalists sets out toward a research station located 4.8 km away in a direction 428 north of east. After traveling in a straight line for 2.4 km, they stop and discover that they have been traveling 228 north of east, because their guide misread his compass. What are
(a) The magnitude and
(b) The direction (relative to due east) of the displacement vector now required to bring the team to the research station?