اردو

Home / Practice / Class 12 / Mathematics / Vectors

Vectors

Written by Hassan Raza (Mathematics)

8 Class 12 Mathematics questions with answers and explanations.

Printable worksheet with answer key

All questions with answers
  1. The magnitude of the vector 3i + 4j is:

    • 1 1
    • 2 5
    • 3 7
    • 4 25
    Show answer

    Correct answer: 5

    Square root of (9 + 16) = 5.

    Report a mistake

  2. The dot product of i and j is:

    • 1 0
    • 2 1
    • 3 -1
    • 4 k
    Show answer

    Correct answer: 0

    Perpendicular unit vectors have dot product 0.

    Report a mistake

  3. If a = (1, 2, 3) and b = (4, 5, 6), then a . b is:

    • 1 21
    • 2 6
    • 3 15
    • 4 32
    Show answer

    Correct answer: 32

    4 + 10 + 18 = 32.

    Report a mistake

  4. i x j equals:

    • 1 0
    • 2 -k
    • 3 i
    • 4 k
    Show answer

    Correct answer: k

    i x j = k.

    Report a mistake

  5. Two vectors are perpendicular when their dot product is:

    • 1 Their product of magnitudes
    • 2 Negative
    • 3 One
    • 4 Zero
    Show answer

    Correct answer: Zero

    A . B = A B cos 90 = 0.

    Report a mistake

  6. The unit vector in the direction of 3i + 4j is:

    • 1 5i
    • 2 (i + j) / 2
    • 3 (3i + 4j) / 5
    • 4 3i + 4j
    Show answer

    Correct answer: (3i + 4j) / 5

    Divide by the magnitude 5.

    Report a mistake

  7. The magnitude of i + j + k is:

    • 1 0
    • 2 1
    • 3 The square root of 3
    • 4 3
    Show answer

    Correct answer: The square root of 3

    Square root of (1 + 1 + 1).

    Report a mistake

  8. The cross product a x b is a vector:

    • 1 Perpendicular to both a and b
    • 2 Parallel to a
    • 3 Parallel to b
    • 4 Of zero length always
    Show answer

    Correct answer: Perpendicular to both a and b

    Its direction follows the right hand rule.

    Report a mistake

More Mathematics topics