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Vectors

Class 12 · Mathematics · 5 questions

Name: ____________________   Date: ____________

  1. The magnitude of the vector 3i + 4j is:

    • A 1
    • B 5
    • C 7
    • D 25
  2. The dot product of i and j is:

    • A 0
    • B 1
    • C -1
    • D k
  3. If a = (1, 2, 3) and b = (4, 5, 6), then a . b is:

    • A 21
    • B 6
    • C 15
    • D 32
  4. i x j equals:

    • A 0
    • B -k
    • C i
    • D k
  5. Two vectors are perpendicular when their dot product is:

    • A Their product of magnitudes
    • B Negative
    • C One
    • D Zero

Answer key

1. B, 2. A, 3. D, 4. D, 5. D

  1. Square root of (9 + 16) = 5.

  2. Perpendicular unit vectors have dot product 0.

  3. 4 + 10 + 18 = 32.

  4. i x j = k.

  5. A . B = A B cos 90 = 0.