Given that $\overrightarrow A + \overrightarrow B = \overrightarrow C $and that $\overrightarrow C $ is $ \bot $ to $\overrightarrow A $. Further if $|\overrightarrow A |\, = \,|\overrightarrow C |,$then what is the angle between $\overrightarrow A $ and $\overrightarrow B $

  • A

    $\frac{\pi }{4}radian$

  • B

    $\frac{\pi }{2}radian$

  • C

    $\frac{{3\pi }}{4}radian$

  • D

    $\pi \,\,radian$

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