# The area of the parallelogram having a diagonal $\overrightarrow{3i}+\overrightarrow{j}-\overrightarrow{k}$ and a side $\overrightarrow{i}-\overrightarrow{3j}+\overrightarrow{4k}$ is
$\begin{array}{1 1}(1)\;10\sqrt{3} &(2)\;6\sqrt{30}\\(3)\;\frac{3}{2}\sqrt{30}&(4)\;3\sqrt{30}\end{array}$