Question

The diagonals of a parallelogram are $2\hat{i}$ and $2\hat{j}$. What is the area of the parallelogram?

• A. $0.5unit$
• B. $1unit$
• C. $2unit$
• D. $4unit$

Answer 1

The correct option is C $2unit$

Area of parallelogram=$\frac{1}{2}|D_1\times D_2|$

Where $D_1$ and $D_2$ are diagonals

Area of parallelogram=$\frac{1}{2}2\hat{i}\times 2\hat{j}=\frac{1}{2}4\hat{k}=2$