The two adjacent sides of a parallelogram are
$$2\overrightarrow{i} − 4\overrightarrow{j}+ 5\overrightarrow{k}$$ and
$$\overrightarrow{i}i − 2\overrightarrow{j} − 3\overrightarrow{k}$$
Find the unit vector parallel to its diagonal. Also, find its area.