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Dot product and length Quiz: printable

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Dot product and length Quiz

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10 questions. Calculator allowed. Show your working. steplyclass.com/linear-algebra/dot-product-and-length/quiz/

  1. 1

    Dot product of (1, 2, 3) and (4, −5, 6)

    Answer: ____________________

  2. 2

    Dot product of (2, 0, 1) and (3, 4, 5)

    Answer: ____________________

  3. 3

    Dot product of (1, −1, 2) and (2, 3, 1)

    Answer: ____________________

  4. 4

    Find the length of (2, 3, 6).

    Answer: ____________________

  5. 5

    Find the length of (1, 2, 2).

    Answer: ____________________

  6. 6

    Find the length of (4, 4, 7).

    Answer: ____________________

  7. 7

    Dot product of (1, 2, −3, 4) and (2, 0, 1, −1)

    Answer: ____________________

  8. 8

    Find the length of (2, 4, 2).

    Answer: ____________________

  9. 9

    Find the length of (1, 1, 1).

    Answer: ____________________

  10. 10

    Find the length of (1, −2, 3, 1).

    Answer: ____________________

Answer key

  1. 12
  2. 11
  3. 1
  4. 7
  5. 3
  6. 9
  7. −5
  8. 2√6
  9. √3
  10. √15

Every answer solved step by step: steplyclass.com/linear-algebra/dot-product-and-length/quiz/answers/