If \(\vec{a}\) and \(\vec{b}\) represent the adjacent sides of a triangle then its area is given as

\(\frac{1}{2}\left|\vec{a}\times \vec{b}\right|\) \(\left|\vec{a}\times \vec{b}\right|\) \(\vec{a}\cdot \vec{b}\) None of these

\(\frac{1}{2}\left|\vec{a}\times \vec{b}\right|\)

Area \(=\frac{1}{2}\left|\vec{a}\times \vec{b}\right|\)