\( \vec{a} \) and \( \vec{b} \) are two unit vectors inclined at an angle \( \theta \) such that...

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\( \vec{a} \) and \( \vec{b} \) are two unit vectors inclined at an angle \( \theta \) such that \( \vec{d}+\vec{b} \) is a unit vector, then \( \theta \)
(A) \( \frac{\pi}{3} \)
(B) \( \frac{\pi}{4} \)
(C) \( \frac{\pi}{2} \)
(D) \( \frac{2 \pi}{3} \)
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