Answer:
The correct answer option is: 2 km South.
Step-by-step explanation:
We are to find out the displacement for the given vectors:
- 4 km south,
- 2 km north,
- 5 km south; and
- 5 km north
So starting off with the vector going 4 km south we have a displacement of 4 km south. Then it goes 2 km so we are left with 4 - 2 = 2 km south.
Next, it goes 5 km south so we will have a displacement of 2 + 5 = 7 km south. Then again it goes 5 km north so we are left with a displacement of 7 - 5 = 2 km South.