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Show that vectors are parallel or points are collinear

10th grade (Year 11 in England) Β· 16 questions Β· Common Core: HSN.VM.B.5 Β· England: GCSE Higher Geometry

Name

Date

Score/ 16

  1. Question 1

    The vector (βˆ’12, m) is parallel to (βˆ’4, 5). Find m.

    Answer

  2. Question 2

    Is 15a βˆ’ 6b parallel to βˆ’5a + 2b?

    • A. Yes
    • B. No
  3. Question 3

    The vector (4, m) is parallel to (1, 3). Find m.

    Answer

  4. Question 4

    Is βˆ’4a βˆ’ 2b parallel to βˆ’2a βˆ’ 2b?

    • A. Yes
    • B. No
  5. Question 5

    The vector (9, m) is parallel to (3, 2). Find m.

    Answer

  6. Question 6

    Is βˆ’8a βˆ’ 7b parallel to βˆ’4a βˆ’ 4b?

    • A. Yes
    • B. No
  7. Question 7

    The vector (βˆ’4, m) is parallel to (βˆ’1, βˆ’1). Find m.

    Answer

  8. Question 8

    Is 6a βˆ’ 7b parallel to βˆ’3a + 4b?

    • A. Yes
    • B. No
  9. Question 9

    The vector (15, m) is parallel to (5, 3). Find m.

    Answer

  10. Question 10

    Is 9a βˆ’ 6b parallel to βˆ’3a + 2b?

    • A. Yes
    • B. No
  11. Question 11

    The vector (βˆ’18, m) is parallel to (βˆ’6, 5). Find m.

    Answer

  12. Question 12

    Is 9a βˆ’ 16b parallel to 3a βˆ’ 5b?

    • A. Yes
    • B. No
  13. Question 13

    The vector (6, m) is parallel to (βˆ’3, 2). Find m.

    Answer

  14. Question 14

    Is 9a + 3b parallel to βˆ’3a βˆ’ b?

    • A. Yes
    • B. No
  15. Question 15

    The vector (3, m) is parallel to (1, βˆ’1). Find m.

    Answer

  16. Question 16

    Is βˆ’2a + 6b parallel to βˆ’a + 3b?

    • A. Yes
    • B. No

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  1. 15
  2. Yes
  3. 12
  4. No
  5. 6
  6. No
  7. -4
  8. No
  9. 9
  10. Yes
  11. 15
  12. No
  13. -4
  14. Yes
  15. -3
  16. Yes