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Use the magnitude of a vector in context

10th grade (Year 11 in England) · 16 questions · Common Core: HSN.VM.A.1, HSN.VM.A.3 · England: GCSE Higher Geometry

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  1. Question 1

    Find the magnitude of (−4, 7) to 1 decimal place.

    Answer

  2. Question 2

    The vector (k, 4) has magnitude 5, and k is positive. Find k.

    Answer

  3. Question 3

    A drone's velocity is (−10, 24) metres per second (east, north). What is its speed in m/s?

    Answer

  4. Question 4

    Find the magnitude of (4, −9) to 1 decimal place.

    Answer

  5. Question 5

    The vector (k, 4) has magnitude 5, and k is positive. Find k.

    Answer

  6. Question 6

    A drone's velocity is (−3, 4) metres per second (east, north). What is its speed in m/s?

    Answer

  7. Question 7

    Find the magnitude of (−1, 5) to 1 decimal place.

    Answer

  8. Question 8

    The vector (k, 12) has magnitude 13, and k is positive. Find k.

    Answer

  9. Question 9

    A drone's velocity is (−3, 4) metres per second (east, north). What is its speed in m/s?

    Answer

  10. Question 10

    Find the magnitude of (8, −5) to 1 decimal place.

    Answer

  11. Question 11

    The vector (k, 72) has magnitude 75, and k is positive. Find k.

    Answer

  12. Question 12

    A drone's velocity is (−5, 12) metres per second (east, north). What is its speed in m/s?

    Answer

  13. Question 13

    Find the magnitude of (−9, 7) to 1 decimal place.

    Answer

  14. Question 14

    The vector (k, 12) has magnitude 13, and k is positive. Find k.

    Answer

  15. Question 15

    A drone's velocity is (−3, −4) metres per second (east, north). What is its speed in m/s?

    Answer

  16. Question 16

    Find the magnitude of (6, 1) to 1 decimal place.

    Answer

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Answer key: Use the magnitude of a vector in context

  1. 1. 8.1

  2. 2. 3

  3. 3. 26

  4. 4. 9.8

  5. 5. 3

  6. 6. 5

  7. 7. 5.1

  8. 8. 5

  9. 9. 5

  10. 10. 9.4

  11. 11. 21

  12. 12. 13

  13. 13. 11.4

  14. 14. 5

  15. 15. 5

  16. 16. 6.1