Angelica is leaving her front door. She walks 1000 ft east, 2000 ft north, and then takes a coin from her pocket. She drops it from a cliff that is 500 ft high.

(a) Set up a coordinate system and write down an expression, using unit vectors, for the displacement of the coin.

(b) Angelica then returns to her front door, following a different path on the return trip. What is her resultant displacement for the round trip?