Physics

Problem

A trekker covers four successive displacements:

4\,\text{km}

east,

3\,\text{km}

south,

2\,\text{km}

west and

1\,\text{km}

north. Which vector represents the single displacement that will bring the trekker straight back to the starting point? a)

2\hat{i}-2\hat{j}\,\text{km}

-4\hat{i}+3\hat{j}\,\text{km}

-2\hat{i}+2\hat{j}\,\text{km}

2\hat{i}+2\hat{j}\,\text{km}