3 km north Just add the vectors together. Consider north to be positive, south to be negative, west to be positive, and east to be negative. Just remember to keep north/south and east/west separate from each other. So let's start with 0 north, 0 west. Add 5 km north. So 0 + 5 = 5, giving us 5 north, 0 west. Add 3 km east. So 0 - 3 = -3, giving us 5 north, -3 west (or 3 east). Add 2 km south. So 5 - 2 = 3, giving us 3 north, -3 west (or 3 east) Add 3 km west. So -3 + 3 = 0, giving us 3 north, 0 west We can ignore the 0 west, and as a result we're 3 km north of where we originally started. So the total displacement is "3 km north"
3 km north. the east and west cancel out and the 5 north being greater than the two south leave you to only have to subtract the 2 south from the 5 north