Vector questions with solutions

Showing 1–10 of 96 questions

• IntegerdifficultMathematical tools and vectorVector

  Two vectors have magnitudes 8 and 6. Their resultant has magnitude 10. Find the magnitude of their difference.

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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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• MCQeasyMathematical tools and vectorVector

  Two vectors are equal when they have:

  Options

  • Option A

    Same magnitude only

  • Option B

    Same direction only

  • Option C

    Same magnitude and same direction

  • Option D

    Same initial point

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• NumericmediumMathematical tools and vectorVector

  Two forces $\vec{F}_1$ and $\vec{F}_2$ are acting on a body. One force has magnitude thrice that of the other force and the resultant of the two forces is equal to the force of larger magnitude. The angle between F₁ and F₂ is cos⁻¹(1/n). The value of |n| is ____.

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• IntegermediumMathematical tools and vectorVector

  Two equal vectors form adjacent sides of a parallelogram. If their resultant has the same magnitude as either vector, find the angle between them in degrees.

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• MCQdifficultMathematical tools and vectorVector

  The resultant of two vectors P⃗ and Q⃗ is perpendicular to P⃗. If P=3 and Q=6, find the resultant magnitude.

  Options

  • Option A

    3

  • Option B

    3√2

  • Option C

    3√3

  • Option D

    6

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• MCQmediumMathematical tools and vectorVector

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

  Options

  • Option A

    8î + 2ĵ

  • Option B

    -2î + 6ĵ

  • Option C

    8î - 6ĵ

  • Option D

    2î + 8ĵ

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• IntegerdifficultMathematical tools and vectorVector

  The resultant of vectors P⃗ and Q⃗ is perpendicular to P⃗. If P=Q/2, find the angle between P⃗ and Q⃗ in degrees.

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• Multi-correctmediumMathematical tools and vectorVector

  Which statements about collinear vectors are correct?

  Select all that apply

  • Option A

    They are parallel to the same straight-line direction

  • Option B

    They may point in the same or opposite directions

  • Option C

    Any set of collinear vectors is coplanar

  • Option D

    Their magnitudes must be equal

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• IntegermediumMathematical tools and vectorVector

  Two vectors of magnitudes 5 and 12 are perpendicular. Find the magnitude of the diagonal representing their resultant.

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