If the sum of two unit vectors is also a unit vector. then magnitude of their difference and angle between the two given unit vectors is ..............

  • A

    $\sqrt{3}, 60^{\circ}$

  • B

    $\sqrt{3}, 120^{\circ}$

  • C

    $\sqrt{2}, 60^{\circ}$

  • D

    $\sqrt{2}, 120^{\circ}$

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  • [JEE MAIN 2024]