A vector $\vec Q$ which has a magnitude of $8$ is added to the vector $\vec P$ which lies along $x-$ axis. The resultant of two vectors lies along $y-$ axis and has magnitude twice that of  $\vec P$. The magnitude of is $\vec P$

  • A

    $\frac {6}{\sqrt 5}$

  • B

    $\frac {8}{\sqrt 5}$

  • C

    $\frac {12}{\sqrt 5}$

  • D

    $\frac {16}{\sqrt 5}$

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