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Add, subtract and scale vectors

Grade 12 math · Fieldbook Learning

Name ______________________ Date __________

Work on the x-components and the y-components separately.

  1. Find ⟨−2, −2⟩ + ⟨3, 5⟩. Give the x- and y-components.
  2. Find ⟨3, −5⟩ + ⟨−5, −5⟩. Give the x- and y-components.
  3. Find ⟨−4, −2⟩ + ⟨−2, −3⟩. Give the x- and y-components.
  4. Find ⟨3, −5⟩ + ⟨4, 4⟩. Give the x- and y-components.
  5. Find ⟨−6, −4⟩ − ⟨3, 5⟩. Give the x- and y-components.
  6. Find ⟨5, 5⟩ − ⟨−3, 6⟩. Give the x- and y-components.
  7. Find ⟨−4, −1⟩ − ⟨4, −2⟩. Give the x- and y-components.
  8. Find ⟨3, −4⟩ − ⟨−3, 3⟩. Give the x- and y-components.
  9. Find 1⟨4, −6⟩. Give the x- and y-components.
  10. Find −2⟨6, 1⟩. Give the x- and y-components.
  11. Find −1⟨2, 5⟩. Give the x- and y-components.
  12. Find −3⟨−1, −2⟩. Give the x- and y-components.
  13. Find the vector from A(−6, 4) to B(−3, −1). Give the x- and y-components.
  14. Find the vector from A(−2, −6) to B(−3, 4). Give the x- and y-components.
  15. Find the vector from A(6, 4) to B(−8, 7). Give the x- and y-components.
  16. Find the vector from A(7, −1) to B(5, −7). Give the x- and y-components.
  17. Find 1⟨−7, −8⟩. Give the x- and y-components.
  18. Find 2⟨8, −8⟩. Give the x- and y-components.
  19. Find −4⟨5, −3⟩. Give the x- and y-components.
  20. Find −5⟨1, −8⟩. Give the x- and y-components.
More free practice: fieldbooklearning.com/ca/practice/grade-12/add-and-subtract-vectors/

Answer key: Add, subtract and scale vectors

  1. 1, 3
  2. -2, -10
  3. -6, -5
  4. 7, -1
  5. -9, -9
  6. 8, -1
  7. -8, 1
  8. 6, -7
  9. 4, -6
  10. -12, -2
  11. -2, -5
  12. 3, 6
  13. 3, -5
  14. -1, 10
  15. -14, 3
  16. -2, -6
  17. -7, -8
  18. 16, -16
  19. -20, 12
  20. -5, 40