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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

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Date

Score/ 16

  1. Question 1

    Is 3a βˆ’ 15b parallel to a βˆ’ 5b?

    • A. Yes
    • B. No
  2. Question 2

    The vector (βˆ’8, m) is parallel to (βˆ’2, βˆ’1). Find m.

    Answer

  3. Question 3

    Is βˆ’15a βˆ’ 12b parallel to βˆ’5a βˆ’ 4b?

    • A. Yes
    • B. No
  4. Question 4

    The vector (βˆ’10, m) is parallel to (5, βˆ’2). Find m.

    Answer

  5. Question 5

    Is βˆ’20a + 16b parallel to βˆ’5a + 4b?

    • A. Yes
    • B. No
  6. Question 6

    The vector (2, m) is parallel to (βˆ’1, 3). Find m.

    Answer

  7. Question 7

    Is βˆ’8a + 11b parallel to βˆ’4a + 5b?

    • A. Yes
    • B. No
  8. Question 8

    The vector (βˆ’3, m) is parallel to (βˆ’1, βˆ’6). Find m.

    Answer

  9. Question 9

    Is βˆ’6a + 12b parallel to βˆ’2a + 4b?

    • A. Yes
    • B. No
  10. Question 10

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

    Answer

  11. Question 11

    Is 12a + 5b parallel to 4a + b?

    • A. Yes
    • B. No
  12. Question 12

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

    Answer

  13. Question 13

    Is βˆ’12a βˆ’ 3b parallel to 4a + b?

    • A. Yes
    • B. No
  14. Question 14

    The vector (3, m) is parallel to (1, βˆ’6). Find m.

    Answer

  15. Question 15

    Is βˆ’4a βˆ’ 8b parallel to βˆ’a βˆ’ 2b?

    • A. Yes
    • B. No
  16. Question 16

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

    Answer

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Answer key: Show that vectors are parallel or points are collinear

  1. 1. A. Yes

  2. 2. -4

  3. 3. A. Yes

  4. 4. 4

  5. 5. A. Yes

  6. 6. -6

  7. 7. B. No

  8. 8. -18

  9. 9. A. Yes

  10. 10. -6

  11. 11. B. No

  12. 12. -12

  13. 13. A. Yes

  14. 14. -18

  15. 15. A. Yes

  16. 16. -15