If $\vec{A}$ and $\vec{B}$ are two vectors satisfying the relation $\vec{A} . \vec{B}=[\vec{A} \times \vec{B}]$. Then the value of $[\vec{A}-\vec{B}]$. will be :

  • [JEE MAIN 2021]
  • A

    $\sqrt{A^{2}+B^{2}-\sqrt{2} A B}$

  • B

    $\sqrt{A^{2}+B^{2}}$

  • C

    $\sqrt{A^{2}+B^{2}+\sqrt{2} A B}$

  • D

    $\sqrt{A^{2}+B^{2}+\sqrt{2} A B}$

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