If $\left| {{{\vec v}_1} + {{\vec v}_2}} \right| = \left| {{{\vec v}_1} - {{\vec v}_2}} \right|$ and ${{{\vec v}_1}}$ and ${{{\vec v}_2}}$ are finite, then

  • A

    ${{{\vec v}_1}}$ is parallel to ${{{\vec v}_2}}$

  • B

    ${{{\vec v}_1} = {{\vec v}_2}}$

  • C

    $\left| {{{\vec v}_1}} \right| = \left| {{{\vec v}_2}} \right|$

  • D

    ${{{\vec v}_1}}$ and ${{{\vec v}_2}}$ are mutually perpendicular

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  • [AIPMT 2003]