List of top Mathematics Questions on Applications of Vectors asked in WBJEE JENPAS UG

If \( \vec{a} = 3\hat{i} - \hat{k} \), \( |\vec{b}| = \sqrt{5} \) and \( \vec{a} \cdot \vec{b} = 3 \), then the area of the parallelogram for which \( \vec{a} \) and \( \vec{b} \) are adjacent sides is: