AI generatedGeometry and measuresKS3 / GCSE

Finding a route using vectors

Finding a route using vectors.

  • The top component is horizontal; the bottom is vertical.
  • Add or subtract matching components. A scalar multiplies both.
  • Reversing a vector changes both signs; position vectors start at the origin.

Example 1

Given and , find .

Follow the route A → B → C, so AC = AB + BC.

Example 2

Given and , find .

Follow the route A → B → C, so AC = AB + BC.

Your turn

Question 1

Given and , find .

Check answer
Follow the route A → B → C, so AC = AB + BC.
Question 2

Given and , find .

Check answer
Follow the route A → B → C, so AC = AB + BC.
Question 3

Given and , find .

Check answer
Follow the route A → B → C, so AC = AB + BC.
Question 4

Given and , find .

Check answer
Follow the route A → B → C, so AC = AB + BC.
Question 5

Given and , find .

Check answer
Follow the route A → B → C, so AC = AB + BC.