If $\overrightarrow{PR}=2\overrightarrow{i}+\overrightarrow{j}+\overrightarrow{k}, \;\overrightarrow{QS}=-\overrightarrow{i}+\overrightarrow{3j}+\overrightarrow {2k},$ then the area of the quadrilateral $PQRS$ is

Question

\[\begin{array}{1 1}(1)5\sqrt{3}&(2)10\sqrt{3}\\(3)\frac{5\sqrt{3}}{2}&(4)\frac{3}{2}\end{array}\]