Find the magnitude of two vectors $ \overrightarrow a$ and $\overrightarrow b$ , having the same magnitude and such that the angle between them is $60^{\omicron}$ and their scalar product is $\large \frac{1}{2}$.

Question

$\begin{array}{1 1} |\overrightarrow a|=|\overrightarrow b| = 0 \\ |\overrightarrow a|=|\overrightarrow b| = 1 \\ |\overrightarrow a|=|\overrightarrow b| =\large \frac{1}{2} \\ |\overrightarrow a|=|\overrightarrow b| = \large\frac{\sqrt3}{2}\end{array} $