Question
If $\overrightarrow{\text{a}}$and$\overrightarrow{\text{b}}$ are two unit vectors such that $\overrightarrow{\text{a}}$+ $\overrightarrow{\text{b}}$is also a unit vector, then find the angle between $\overrightarrow{\text{a}}$and $\overrightarrow{\text{b}}$.

Answer

$\frac{2\pi}{3}.$

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