Final answer:
The total distance traveled by the particle is 9 km, and the net displacement is (5 km, 4 km).
Step-by-step explanation:
To find the total distance traveled, we sum up the distances traveled in each direction: 3 km + 4 km + 2 km = 9 km. The particle travels a total distance of 9 kilometers.
To find the net displacement, we need to find the total displacement combining all the individual displacements. The particle moves 3 km to the east, then 4 km to the north, and finally 2 km to the east again. The displacement in the x-direction is 3 km + 2 km = 5 km towards the east. The displacement in the y-direction is 4 km towards the north. So the net displacement is (5 km, 4 km) or 5 km towards the east and 4 km towards the north.