269012
The diagonals of a parallelogram are \(\vec{A}=2 \hat{i}-3 \hat{j}+\hat{k}\) and \(\vec{B}=-2 \hat{i}+4 \hat{j}-\hat{k}\) What is the area of the parallelogram ?
1 2 units
2 4 units
3 \(\sqrt{5}\) units
4 \(\frac{\sqrt{5}}{2}\)
Explanation:
area of parallelogram \(=\frac{1}{2}\left|\vec{d}_{1} \times \vec{d}_{2}\right|\)
