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Write the vector between two points

10th grade (Year 11 in England) Β· 16 questions Β· Common Core: HSN.VM.A.2 Β· England: GCSE Higher Geometry

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  1. Question 1

    A is (5, βˆ’7) and B is (0, 7). Write the vector AB as a column vector, typed like (2, βˆ’1).

    xyβˆ’8βˆ’6βˆ’4βˆ’22468βˆ’8βˆ’6βˆ’4βˆ’224680AB

    Answer

  2. Question 2

    P is (4, 1) and the vector PQ is (6, 1). Find the coordinates of Q. Type them like (2, βˆ’1).

    Answer

  3. Question 3

    A is (βˆ’5, 6) and B is (βˆ’7, 6). Write the vector AB as a column vector, typed like (2, βˆ’1).

    xyβˆ’8βˆ’6βˆ’4βˆ’22468βˆ’8βˆ’6βˆ’4βˆ’224680AB

    Answer

  4. Question 4

    P is (1, 4) and the vector PQ is (2, 4). Find the coordinates of Q. Type them like (2, βˆ’1).

    Answer

  5. Question 5

    A is (7, 6) and B is (βˆ’7, 4). Write the vector AB as a column vector, typed like (2, βˆ’1).

    xyβˆ’8βˆ’6βˆ’4βˆ’22468βˆ’8βˆ’6βˆ’4βˆ’224680AB

    Answer

  6. Question 6

    P is (1, βˆ’2) and the vector PQ is (3, 1). Find the coordinates of Q. Type them like (2, βˆ’1).

    Answer

  7. Question 7

    A is (βˆ’6, βˆ’6) and B is (βˆ’6, 0). Write the vector AB as a column vector, typed like (2, βˆ’1).

    xyβˆ’8βˆ’6βˆ’4βˆ’22468βˆ’8βˆ’6βˆ’4βˆ’224680AB

    Answer

  8. Question 8

    P is (1, 5) and the vector PQ is (3, 2). Find the coordinates of Q. Type them like (2, βˆ’1).

    Answer

  9. Question 9

    A is (3, 0) and B is (7, 5). Write the vector AB as a column vector, typed like (2, βˆ’1).

    xyβˆ’8βˆ’6βˆ’4βˆ’22468βˆ’8βˆ’6βˆ’4βˆ’224680AB

    Answer

  10. Question 10

    P is (1, βˆ’1) and the vector PQ is (βˆ’4, βˆ’3). Find the coordinates of Q. Type them like (2, βˆ’1).

    Answer

  11. Question 11

    A is (βˆ’7, 5) and B is (βˆ’2, βˆ’6). Write the vector AB as a column vector, typed like (2, βˆ’1).

    xyβˆ’8βˆ’6βˆ’4βˆ’22468βˆ’8βˆ’6βˆ’4βˆ’224680AB

    Answer

  12. Question 12

    P is (βˆ’1, 3) and the vector PQ is (4, βˆ’3). Find the coordinates of Q. Type them like (2, βˆ’1).

    Answer

  13. Question 13

    A is (βˆ’5, βˆ’6) and B is (βˆ’5, βˆ’7). Write the vector AB as a column vector, typed like (2, βˆ’1).

    xyβˆ’8βˆ’6βˆ’4βˆ’22468βˆ’8βˆ’6βˆ’4βˆ’224680AB

    Answer

  14. Question 14

    P is (5, 2) and the vector PQ is (3, βˆ’1). Find the coordinates of Q. Type them like (2, βˆ’1).

    Answer

  15. Question 15

    A is (7, 7) and B is (2, βˆ’2). Write the vector AB as a column vector, typed like (2, βˆ’1).

    xyβˆ’8βˆ’6βˆ’4βˆ’22468βˆ’8βˆ’6βˆ’4βˆ’224680AB

    Answer

  16. Question 16

    P is (0, βˆ’1) and the vector PQ is (βˆ’3, 6). Find the coordinates of Q. Type them like (2, βˆ’1).

    Answer

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Answer key: Write the vector between two points

  1. 1. (βˆ’5, 14)

  2. 2. (10, 2)

  3. 3. (βˆ’2, 0)

  4. 4. (3, 8)

  5. 5. (βˆ’14, βˆ’2)

  6. 6. (4, βˆ’1)

  7. 7. (0, 6)

  8. 8. (4, 7)

  9. 9. (4, 5)

  10. 10. (βˆ’3, βˆ’4)

  11. 11. (5, βˆ’11)

  12. 12. (3, 0)

  13. 13. (0, βˆ’1)

  14. 14. (8, 1)

  15. 15. (βˆ’5, βˆ’9)

  16. 16. (βˆ’3, 5)