Area of Parallelogram and Triangle

Show that the area of the parallelogram having diagonals $3\hat{i}+\hat{j}-2\hat{k}$ and $\hat{i}-3 \hat{j}+4\hat{k}$ is $5\sqrt{3}$.

Find the area of the parallelogram whose adjacent sides are represented by the vectors $3\hat{i}+\hat{j}-2\hat{k}$ and $\hat{i}-3 \hat{j}+4\hat{k}$.

Find the area of the triangle whose adjacent sides are determined by the vectors $\overrightarrow{a}=-2\hat{i}-5\hat{k}$ and $\overrightarrow{b}=\hat{i}-2 \hat{j}-\hat{k}$