The two adjacent sides of a parallelogram are given. Find the unit vector parallel to its diagonal. Also, find its area.

Question

 

 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.