Motion in a Plane


  1. A body constrained to move in y-direction, is subjected to a force given by F = (-2î + 15ĵ + 6k̂) N. What is the work done by this force in moving the body through a distance of 10m along y-axis ?​​









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    Since displacement is along the y-direction, hence displacement s = 10ĵ . ​
    Work done = F . s
    = (-2î + 15ĵ + 6k̂) . 10ĵ = 150 J

    Correct Option: C

    Since displacement is along the y-direction, hence displacement s = 10ĵ . ​
    Work done = F . s
    = (-2î + 15ĵ + 6k̂) . 10ĵ = 150 J


  1. The angle between A and A is θ. The value of the triple product A . (B × A) is ​









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    Note that (B × A) ⊥ A . Hence their dot product is zero.

    Correct Option: B

    Note that (B × A) ⊥ A . Hence their dot product is zero.



  1. The magnitudes of vectors A , B and C are 3, 4 and 5 units respectively. If A + B = C , then the angle between A and B is​









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    (A + B)2 = (C)2
    ⇒ A2 + B2 + 2 A.B = C2
    ⇒ 32 + 42 + 2 A.B = 52
    ⇒ 2 A.B = 0
    ⇒ A.B = 0
    ∴ A ⊥ B
    Here A2 + B2 = C2.
    Hence, A ⊥ B

    Correct Option: A

    (A + B)2 = (C)2
    ⇒ A2 + B2 + 2 A.B = C2
    ⇒ 32 + 42 + 2 A.B = 52
    ⇒ 2 A.B = 0
    ⇒ A.B = 0
    ∴ A ⊥ B
    Here A2 + B2 = C2.
    Hence, A ⊥ B


  1. The resultant of (A × 0) will be equal to​​









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    When a vector is multiplied with a scalar, the result is a vector.

    Correct Option: C

    When a vector is multiplied with a scalar, the result is a vector.



  1. Which of the following is not a vector quantity?









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    NA

    Correct Option: C

    NA