Will two hikers using a forest trail always reach the same point if each of them takes four opposite displacements why or why not?

Answer 1

Not always. They must start at the same point and their displacements must be equal and opposite in order for them to return to the same starting point together.

Example

Starting at the same place, hiker A walks 1km north and hiker B walks 1km south. Hiker A then walks 1km west and hiker B walks 1km east. Hiker A then walks 1km south and hiker B walks 1km north. Finally, hiker A walks 1km east and hiker B walks 1km west, and they both end up together where they started.