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Vectors: Addition, Subtraction & Scalar Multiplication (Year 10)

Free printable UK Year 10 (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 9 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 = (1, 6)แต€ and b = (3, -4)แต€. Find a + b.
  2. 2.
    a = (-1, -7)แต€ and b = (-2, -2)แต€. Find a + b.
  3. 3.
    a = (3, -7)แต€ and b = (-8, 1)แต€. Find a + b.
  4. 4.
    a = (8, -1)แต€ and b = (6, 1)แต€. Find a + b.
  5. 5.
    a = (4, 3)แต€ and b = (-8, 2)แต€. Find a - b.
  6. 6.
    a = (-4, 0)แต€ and b = (6, -7)แต€. Find a - b.
  7. 7.
    a = (0, -7)แต€ and b = (-6, -3)แต€. Find a - b.
  8. 8.
    a = (-3, -1)แต€ and b = (-1, 6)แต€. Find a - b.
  9. 9.
    a = (7, -6)แต€. Find -2a.
  10. 10.
    a = (5, -4)แต€. Find 2a.
  11. 11.
    a = (8, -4)แต€. Find -a.
  12. 12.
    a = (0, -8)แต€. Find -3a.
  13. 13.
    a = (2, 4)แต€ and b = (-4, 3)แต€. Find 2a + 3b.
  14. 14.
    a = (-8, -7)แต€ and b = (8, 8)แต€. Find 3a - b.
  15. 15.
    a = (1, 3)แต€ and b = (0, 1)แต€. Find 2a + 3b.
  16. 16.
    a = (-5, 0)แต€ and b = (-6, -8)แต€. Find 3a - 2b.
  17. 17.
    a = (5, -7)แต€ and b = (6, 2)แต€. Find 3a + b.
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