As preparation for this problem, consult Concept Simulation 1.1. On a safari, a team of naturalists sets out toward a research station located 6.80 km away in a direction 38.8 ° north of east. After traveling in a straight line for 3.42 km, they stop and discover that they have been traveling 27.9 ° north of east, because their guide misread Wis compass. What are
a) the magnitude and
b) the direction (as a positive angle relative to due east) of the displacement vector now required to bring the team to the research station?