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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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Date

Score/ 16

  1. Question 1

    A drone's velocity is (−16, −30) metres per second (east, north). What is its speed in m/s?

    Answer

  2. Question 2

    Find the magnitude of (3, 4) to 1 decimal place.

    Answer

  3. Question 3

    The vector (k, 36) has magnitude 39, and k is positive. Find k.

    Answer

  4. Question 4

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

    Answer

  5. Question 5

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

    Answer

  6. Question 6

    The vector (k, 24) has magnitude 25, and k is positive. Find k.

    Answer

  7. Question 7

    A drone's velocity is (7, −24) metres per second (east, north). What is its speed in m/s?

    Answer

  8. Question 8

    Find the magnitude of (5, −4) to 1 decimal place.

    Answer

  9. Question 9

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

    Answer

  10. Question 10

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

    Answer

  11. Question 11

    Find the magnitude of (9, −3) to 1 decimal place.

    Answer

  12. Question 12

    The vector (k, 48) has magnitude 50, and k is positive. Find k.

    Answer

  13. Question 13

    A drone's velocity is (7, 24) metres per second (east, north). What is its speed in m/s?

    Answer

  14. Question 14

    Find the magnitude of (5, −6) to 1 decimal place.

    Answer

  15. Question 15

    The vector (k, 8) has magnitude 10, and k is positive. Find k.

    Answer

  16. Question 16

    A drone's velocity is (7, −24) metres per second (east, north). What is its speed in m/s?

    Answer

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  1. 34
  2. 5
  3. 15
  4. 13
  5. 4.1
  6. 7
  7. 25
  8. 6.4
  9. 21
  10. 26
  11. 9.5
  12. 14
  13. 25
  14. 7.8
  15. 6
  16. 25