An archaeologist begins a trip by first walking 30km southeast from the campsite. He stops and sets up a temporal camp for the night. On the second day, he walks 60km in direction 60 degree north of east, at which point he discovers the ancient city of gold.

a) Determine the components of the archaeologist's displacement for each day

b) Determine the components of the archaeologist's displacement R for the trip. Find the expression for R in terms of unit vectors