Mathematics

Problem

Calculate the area of the parallelogram determined by the vectors

\mathbf{u}=3\mathbf{i}+2\mathbf{j}-\mathbf{k}

and

\mathbf{v}=2\mathbf{i}-\mathbf{j}+4\mathbf{k}

. a)

\dfrac{7\sqrt{6}}{2}

3\sqrt{22}

7\sqrt{6}

14\sqrt{6}