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Lines in space Quiz: printable

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Lines in space Quiz

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10 questions. Calculator allowed. Show your working. steplyclass.com/calculus-3/lines-in-space/quiz/

  1. 1

    Line through (1, 2, 3) and (4, 6, 8)

    Answer: ____________________

  2. 2

    Line through (1, 2, 3) parallel to <2, โˆ’1, 4>

    Answer: ____________________

  3. 3

    Line through (1, 1, 1) and (3, 2, 5)

    Answer: ____________________

  4. 4

    Line through (5, 1, 0) and (2, 3, 1)

    Answer: ____________________

  5. 5

    Line through (2, โˆ’1, 4) and (5, 1, 3)
    1. A) x = 2 โˆ’ 3t
    2. B) x = 3 + 2t
    3. C) x = 2 + 3t
  6. 6

    Line through (3, โˆ’2, 0) parallel to <โˆ’1, 4, 2>

    Answer: ____________________

  7. 7

    Line through (4, 2, โˆ’1) parallel to <0, 2, โˆ’3>
    1. A) x = 4
    2. B) x = โˆ’4
    3. C) x = 4t
  8. 8

    Symmetric equations of the line through (1, โˆ’2, 3) and (3, 2, 4)

    Answer: ____________________

  9. 9

    Symmetric equations of the line through (0, 2, โˆ’1) parallel to <3, โˆ’1, 2>

    Answer: ____________________

  10. 10

    Symmetric equations of the line through (โˆ’2, 0, 1) parallel to <1, 2, โˆ’3>

    Answer: ____________________

Answer key

  1. x = 1 + 3t
  2. x = 1 + 2t
  3. x = 1 + 2t
  4. x = 5 โˆ’ 3t
  5. C x = 2 + 3t
  6. x = 3 โˆ’ t
  7. A x = 4
  8. z โˆ’ 3
  9. (z + 1)/2
  10. z โˆ’ 1โˆ’3

Every answer solved step by step: steplyclass.com/calculus-3/lines-in-space/quiz/answers/