A body is moving under the action of two forces ${\vec F_1} = 2\hat i - 5\hat j\,;\,{\vec F_2} = 3\hat i - 4\hat j$. Its velocity will become uniform under an additional third force ${\vec F_3}$ given by

  • A

    $5\hat i - \hat j$

  • B

    $-5\hat i - \hat j$

  • C

    $5\hat i + \hat j$

  • D

    $-5\hat i + 9\hat j$

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  • [JEE MAIN 2019]

Two forces with equal magnitudes $F$ act on a body and the magnitude of the resultant force is $F/3$. The angle between the two forces is