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Vectors

10th grade (Year 11 in England) Β· 16 questions Β· Common Core: HSN.VM.A.1, HSN.VM.B.4 Β· England: GCSE Higher Geometry

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Date

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  1. Question 1

    a = (0, βˆ’6) and b = (4, βˆ’6). Find a βˆ’ b. Type it like (2, βˆ’1).

    Answer

  2. Question 2

    Find the magnitude of the vector (βˆ’3, βˆ’4).

    Answer

  3. Question 3

    a = (4, 2) and b = (βˆ’2, 0). Find 2a βˆ’ b. Type it like (2, βˆ’1).

    Answer

  4. Question 4

    Find the magnitude of the vector (βˆ’3, βˆ’4).

    Answer

  5. Question 5

    a = (0, 4) and b = (0, 3). Find a + 2b. Type it like (2, βˆ’1).

    Answer

  6. Question 6

    Find the magnitude of the vector (βˆ’9, βˆ’12).

    Answer

  7. Question 7

    a = (2, 5) and b = (5, 6). Find a + 2b. Type it like (2, βˆ’1).

    Answer

  8. Question 8

    Find the magnitude of the vector (βˆ’3, βˆ’4).

    Answer

  9. Question 9

    a = (5, βˆ’6) and b = (5, 3). Find 3a + b. Type it like (2, βˆ’1).

    Answer

  10. Question 10

    Find the magnitude of the vector (βˆ’6, βˆ’8).

    Answer

  11. Question 11

    a = (βˆ’4, βˆ’6) and b = (5, βˆ’6). Find 2a + b. Type it like (2, βˆ’1).

    Answer

  12. Question 12

    Find the magnitude of the vector (βˆ’5, βˆ’12).

    Answer

  13. Question 13

    a = (6, βˆ’3) and b = (2, 3). Find a + 3b. Type it like (2, βˆ’1).

    Answer

  14. Question 14

    Find the magnitude of the vector (3, 4).

    Answer

  15. Question 15

    a = (4, 5) and b = (5, βˆ’4). Find 2a + 3b. Type it like (2, βˆ’1).

    Answer

  16. Question 16

    Find the magnitude of the vector (βˆ’6, βˆ’8).

    Answer

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Answer key: Vectors

  1. 1. (βˆ’4, 0)

  2. 2. 5

  3. 3. (10, 4)

  4. 4. 5

  5. 5. (0, 10)

  6. 6. 15

  7. 7. (12, 17)

  8. 8. 5

  9. 9. (20, βˆ’15)

  10. 10. 10

  11. 11. (βˆ’3, βˆ’18)

  12. 12. 13

  13. 13. (12, 6)

  14. 14. 5

  15. 15. (23, βˆ’2)

  16. 16. 10