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Vectors: Addition, Subtraction & Scalar Multiplication (Year 11)

Free printable UK Year 11 (GCSE Foundation) maths worksheet on vector arithmetic: adding, subtracting and scaling column vectors component by component.

โœ“ Answer key checked by math, never wrong
Grade 10 ยท Math worksheet
Name
Date
Math

Vectors: Addition, Subtraction & Scalar Multiplication

Find the sum, difference, or scalar multiple of the given column vectors, adding, subtracting or scaling component by component.

  1. 1.
    a = (-7, -8)แต€ and b = (6, 1)แต€. Find a + b.
  2. 2.
    a = (-1, 3)แต€ and b = (-3, 3)แต€. Find a + b.
  3. 3.
    a = (3, 7)แต€ and b = (6, -8)แต€. Find a + b.
  4. 4.
    a = (-5, -8)แต€ and b = (3, 4)แต€. Find a + b.
  5. 5.
    a = (-3, -1)แต€ and b = (-4, -2)แต€. Find a - b.
  6. 6.
    a = (-3, 8)แต€ and b = (-6, -8)แต€. Find a - b.
  7. 7.
    a = (8, 7)แต€ and b = (-2, 2)แต€. Find a - b.
  8. 8.
    a = (-4, 7)แต€ and b = (4, -2)แต€. Find a - b.
  9. 9.
    a = (-8, 2)แต€. Find 2a.
  10. 10.
    a = (-7, -6)แต€. Find 2a.
  11. 11.
    a = (-8, -1)แต€. Find 3a.
  12. 12.
    a = (-2, 5)แต€. Find -2a.
  13. 13.
    a = (-1, 4)แต€ and b = (7, 4)แต€. Find a - b.
  14. 14.
    a = (-8, 1)แต€ and b = (7, -6)แต€. Find 2a + 3b.
  15. 15.
    a = (-8, 1)แต€ and b = (-3, 7)แต€. Find 3a - 2b.
  16. 16.
    a = (4, 6)แต€ and b = (-6, 8)แต€. Find 2a + b.
  17. 17.
    a = (-3, 4)แต€ and b = (8, -3)แต€. Find 2a + 2b.
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