If \( \vec{a} \) and \( \vec{b} \) are unit vectors, then what is t...

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If \( \vec{a} \) and \( \vec{b} \) are unit vectors, then what is the angle
\( \mathrm{P} \) between \( \vec{a} \) and \( \vec{b} \) for \( \sqrt{3} \vec{a}-\vec{b} \) to be a unit vector?

W
(1) \( 30^{\circ} \)
(2) \( 45^{\circ} \)
(3) \( 60^{\circ} \)
(4) \( 90^{\circ} \)
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