If \(a\) and \(b\) are two unit vectors inclined at an angle \(\frac{\pi}{3}\), then the value of \(\left|\vec{a}+\vec{b}\right|\) is

\(0\) greater than \(1\) less than \(1\) None

greater than \(1\)

\(\begin{aligned}|\vec{a}+\vec{b}|^{2}&=1+1+2\cos \frac{\pi}{3}\\ &=2+\sqrt{3}\\ |\vec{a}+\vec{b}|&>1\end{aligned}\)