Vector questions with solutions

Showing 1–10 of 92 questions

• MCQdifficultMathematical tools and vectorVector

  Two vectors have magnitudes 5 and 10, and their resultant is perpendicular to the vector of magnitude 5. Which pair gives the angle between the vectors and the resultant magnitude?

  Options

  • Option A

    120°, 5√3

  • Option B

    60°, 5√3

  • Option C

    120°, 5

  • Option D

    90°, 5√5

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• MCQdifficultMathematical tools and vectorVector

  Two equal vectors have resultant magnitude 6√3 and the angle between them is 60°. Find the magnitude of each vector and the magnitude of their difference.

  Options

  • Option A

    6 and 6

  • Option B

    3 and 6

  • Option C

    6 and 3

  • Option D

    12 and 6

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• MCQdifficultMathematical tools and vectorVector

  Two vectors have magnitudes 7 and 5. Which resultant magnitude is impossible?

  Options

  • Option A

    2

  • Option B

    6

  • Option C

    10

  • Option D

    13

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• MCQdifficultMathematical tools and vectorVector

  The maximum and minimum possible resultant magnitudes of two vectors are 17 and 7. Find the magnitudes of the two vectors.

  Options

  • Option A

    12 and 5

  • Option B

    10 and 7

  • Option C

    17 and 7

  • Option D

    15 and 2

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• Multi-correcteasyMathematical tools and vectorVector

  For the zero vector 0⃗, which statements are correct?

  Select all that apply

  • Option A

    Its magnitude is zero

  • Option B

    Its direction is uniquely defined

  • Option C

    A⃗ + 0⃗ = A⃗

  • Option D

    A⃗ - A⃗ = 0⃗

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• MCQmediumMathematical tools and vectorVector

  A particle moves 6 m east, 8 m north and then 6 m west. Its resultant displacement is:

  Options

  • Option A

    8 m north

  • Option B

    8 m south

  • Option C

    12 m east

  • Option D

    10 m north-east

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• MCQmediumMathematical tools and vectorVector

  If A⃗ = 3î + 4ĵ and B⃗ = 5î - 2ĵ, find A⃗ - B⃗.

  Options

  • Option A

    2î - 6ĵ

  • Option B

    -2î + 6ĵ

  • Option C

    8î + 2ĵ

  • Option D

    -8î - 2ĵ

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• IntegermediumMathematical tools and vectorVector

  A particle moves 10 m east, 10 m north, 10 m west and then 5 m south. Find the magnitude of its resultant displacement in metres.

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• Multi-correctmediumMathematical tools and vectorVector

  For two non-zero vectors A⃗ and B⃗, which statements are correct?

  Select all that apply

  • Option A

    They are always coplanar

  • Option B

    They may be parallel

  • Option C

    They may be perpendicular

  • Option D

    They can form a genuinely non-coplanar set by themselves

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• IntegermediumMathematical tools and vectorVector

  A vector of magnitude 20 is resolved into two mutually perpendicular components. If one component has magnitude 12, find the other component.

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