Let \[\overrightarrow{a}\] and \[\overrightarrow{b}\] be two unit vectors and \[\theta \] is the angle between them. Then \[\overrightarrow{a}+\overrightarrow{b}\] is a unit vector if (A) \[\theta =\frac{\pi }{4}\] (B) \[\theta =\frac{\pi }{3}\] (C) \[\theta =\frac{\pi }{2}\] (D) \[\theta =\frac{2\pi }{3}\]