The angle between two vectors \(\rm\vec{a}\) and \(\rm\vec{b}\) with magnitudes \(\sqrt{3}\) and 4, respectively, and \(\rm\vec{a}.\vec{b}=2\sqrt{3}\) is

1
\(\frac{\pi}{6}\)
2
\(\frac{\pi}{3}\)
3
\(\frac{\pi}{2}\)
4
\(\frac{5\pi}{2}\)

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