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Common Core HSN.VM.B.4 worksheet

High school · 16 questions · Common Core: HSN.VM.A.1, HSN.VM.B.4 · England: GCSE Higher Geometry

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Date

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  1. Question 1

    OA = a and OB = b. M is the midpoint of AB. Find OM in terms of a and b.

    • A. a − b
    • B. b − a
    • C. ½a + ½b
    • D. ½a − ½b

  2. Question 2

    Find the magnitude of the vector (−6, −8).

    Answer

  3. Question 3

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

    Answer

  4. Question 4

    OA = a and OB = b. P lies on AB with AP : PB = 1 : 3. Find OP in terms of a and b.

    • A. (1/4)a + (3/4)b
    • B. (3/4)a + (1/4)b
    • C. (1/2)a + (1/2)b
    • D. (1/4)b − (1/4)a

  5. Question 5

    OA = a and OB = b. M is the midpoint of AB. Find OM in terms of a and b.

    • A. ½a − ½b
    • B. b − a
    • C. a + b
    • D. ½a + ½b

  6. Question 6

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

    Answer

  7. Question 7

    a = (1, −6) and b = (5, 4). Find 3a − 2b. Type it like (2, −1).

    Answer

  8. Question 8

    OA = a and OB = b. P lies on AB with AP : PB = 1 : 2. Find OP in terms of a and b.

    • A. a + (1/3)b
    • B. (1/2)a + (1/2)b
    • C. (2/3)a + (1/3)b
    • D. (1/3)b − (1/3)a

  9. Question 9

    OA = a and OB = b. M is the midpoint of AB. Find OM in terms of a and b.

    • A. ½a − ½b
    • B. ½a + ½b
    • C. a + b
    • D. b − a

  10. Question 10

    Find the magnitude of the vector (−9, −12).

    Answer

  11. Question 11

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

    Answer

  12. Question 12

    OA = a and OB = b. P lies on AB with AP : PB = 3 : 1. Find OP in terms of a and b.

    • A. (1/4)a + (3/4)b
    • B. (3/4)b − (3/4)a
    • C. (3/4)a + (1/4)b
    • D. (1/2)a + (1/2)b

  13. Question 13

    OA = a and OB = b. M is the midpoint of AB. Find OM in terms of a and b.

    • A. ½b − ½a
    • B. ½a + ½b
    • C. b − a
    • D. a + b

  14. Question 14

    Find the magnitude of the vector (−6, −8).

    Answer

  15. Question 15

    a = (4, −2) and b = (1, 1). Find 2a + 2b. Type it like (2, −1).

    Answer

  16. Question 16

    OA = a and OB = b. P lies on AB with AP : PB = 3 : 1. Find OP in terms of a and b.

    • A. (1/4)a + (3/4)b
    • B. a + (3/4)b
    • C. (3/4)b − (3/4)a
    • D. (3/4)a + (1/4)b

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Answer key: Common Core HSN.VM.B.4 worksheet

  1. 1. C. ½a + ½b

  2. 2. 10

  3. 3. (8, −2)

  4. 4. B. (3/4)a + (1/4)b

  5. 5. D. ½a + ½b

  6. 6. 5

  7. 7. (−7, −26)

  8. 8. C. (2/3)a + (1/3)b

  9. 9. B. ½a + ½b

  10. 10. 15

  11. 11. (−12, 14)

  12. 12. A. (1/4)a + (3/4)b

  13. 13. B. ½a + ½b

  14. 14. 10

  15. 15. (10, −2)

  16. 16. A. (1/4)a + (3/4)b

HSN.VM.B.4 Worksheet: Vectors | Eurekami