Question

Write the expression for the area of the parallelogram having \[\vec{a} \text{ and } \vec{b}\] as its diagonals.

 

 

Answer 1

\[\text{ Given:}  \vec{a} \text{ and } \vec{b} \text{ are diagonals of a parallelogram } .\]
\[\text{ Area of the parallelogram } =\frac{1}{2}\left| \vec{a} \times \vec{b} \right|\]