Create a free account now and get 3 full lessons, completely free. Get my 3 free lessons

Australia
Practise online insteadThe answer key prints on page 2.

Find the magnitude of a vector

Year 12 maths · Fieldbook Learning

Name ______________________ Date __________

Square each component, add, and take the square root.

  1. Find the magnitude of ⟨−36, 15⟩.
  2. Find the magnitude of ⟨45, 28⟩.
  3. Find the magnitude of ⟨−63, −16⟩.
  4. Find the magnitude of ⟨−8, 6⟩.
  5. Find the magnitude of ⟨−33, −56⟩.
  6. Find the magnitude of ⟨−60, −63⟩.
  7. Find the magnitude of ⟨−48, 14⟩.
  8. Find the magnitude of ⟨−21, −20⟩.
  9. Find the magnitude of ⟨12, −35⟩.
  10. Find the magnitude of ⟨63, 16⟩.
  11. Find the magnitude of ⟨−2, 10, −11⟩.
  12. Find the magnitude of ⟨−4, −4, −7⟩.
  13. Find the magnitude of ⟨−2, 3, 6⟩.
  14. Find the magnitude of ⟨−2, −10, 11⟩.
  15. Find the magnitude of ⟨4, 4, 7⟩.
  16. Find the magnitude of ⟨1, −4, 8⟩.
  17. Find the magnitude of ⟨−4, 4, −7⟩.
  18. Find the magnitude of ⟨−3, −4, −12⟩.
  19. Find the magnitude of ⟨2, −3, −6⟩.
  20. Find the magnitude of ⟨−6, −6, 7⟩.
More free practice: fieldbooklearning.com/au/practice/year-12/magnitude-of-a-vector/

Play it as a quiz game

20 of these questions as multiple choice, with near-miss wrong answers, ready for Kahoot or Blooket.

  1. Download the game's own question template: in Kahoot, Add question → Import spreadsheet; in Blooket, Create a set → Spreadsheet import.
  2. Click the matching button below, then click the first empty question row of the template and paste.
  3. Save the template (Kahoot needs .xlsx, Blooket .csv) and upload it.
Download CSV

Answer key: Find the magnitude of a vector

  1. 39
  2. 53
  3. 65
  4. 10
  5. 65
  6. 87
  7. 50
  8. 29
  9. 37
  10. 65
  11. 15
  12. 9
  13. 7
  14. 15
  15. 9
  16. 9
  17. 9
  18. 13
  19. 7
  20. 11