CUET Preparation Today
The area of the parallelogram of which $\hat{i}$ and $\hat{i}+\hat{j}$ are adjacent sides is _________. |
1 2 $\frac{1}{2}$ $\sqrt{2}$ |
1 |
The correct answer is Option (1) → 1 Area of parallelogram = $|a×b|$ $=\begin{vmatrix}\hat i&\hat j&\hat k\\1&0&0\\1&1&0\end{vmatrix}$ $=0\hat i-0\hat j+1\hat k=\hat k$ $∴Area=|a×b|=1$ |
