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20 questions and an answer page, sized for A4.

Vector addition and scalar multiples

Year 12 · Shapes & Geometry · 20 questions

Name
Date
  1. 1.
    If a = (-1, 3), what is 5a?
  2. 2.
    If a = (5, -1) and b = (-5, -3), what is a + b?
  3. 3.
    If a = (-4, -1) and b = (4, 6), what is a + b?
  4. 4.
    If a = (-6, 4) and b = (0, 0), what is a − b?
  5. 5.
    If a = (5, 0) and b = (-4, 0), what is a − b?
  6. 6.
    If a = (-2, 2) and b = (6, -2), what is a − b?
  7. 7.
    If a = (0, -3), what is 4a?
  8. 8.
    If a = (-3, 5), what is 4a?
  9. 9.
    If a = (-1, 6) and b = (0, -3), what is a + b?
  10. 10.
    If a = (0, 3) and b = (-3, 0), what is a + b?
  11. 11.
    If a = (1, 5), what is 3a?
  12. 12.
    If a = (-1, -5) and b = (-2, 6), what is a + b?
  13. 13.
    If a = (3, -4), what is 4a?
  14. 14.
    If a = (-3, 3) and b = (5, 6), what is a + b?
  15. 15.
    If a = (5, 6), what is 2a?
  16. 16.
    If a = (-5, -6) and b = (1, 4), what is a − b?
  17. 17.
    If a = (-4, -2), what is 3a?
  18. 18.
    If a = (-2, -5), what is 5a?
  19. 19.
    If a = (-4, -5) and b = (6, 1), what is a + b?
  20. 20.
    If a = (6, 3) and b = (-6, 3), what is a + b?

Free maths worksheets and practice: rocketdigits.com/learn/vector-addition-and-scalar-multiples

Answers: Vector addition and scalar multiples

  1. (-5, 15)
  2. (0, -4)
  3. (0, 5)
  4. (-6, 4)
  5. (9, 0)
  6. (-8, 4)
  7. (0, -12)
  8. (-12, 20)
  9. (-1, 3)
  10. (-3, 3)
  11. (3, 15)
  12. (-3, 1)
  13. (12, -16)
  14. (2, 9)
  15. (10, 12)
  16. (-6, -10)
  17. (-12, -6)
  18. (-10, -25)
  19. (2, -4)
  20. (0, 6)

Free maths worksheets and practice: rocketdigits.com/learn/vector-addition-and-scalar-multiples

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