If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

Main content

Vector word problems

You might need: Calculator


Michael is running some errands.
  • His first stop is 6 km to the east and 3 km to the south from his house.
  • His second stop is 2 km to the west and 1 km to the south from the first stop.
  • His third stop is 7 km to the west and 5 km to the north from the second stop.
What is Michael's direction relative to his starting point once he arrives at his third stop?
Round your answer to the nearest integer. You can round intermediate values to the nearest hundredth.
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
° rotation from the eastward direction