The area of the parallelogram of which $\hat{i}$ and $\hat{i}+\hat{j}$ are adjacent sides is _________.
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 1
Area of parallelogram = $|a×b|$
$=\begin{vmatrix}\hat i&\hat j&\hat k\\1&0&0\\1&1&0\end{vmatrix}$
$=0\hat i-0\hat j+1\hat k=\hat k$
$∴Area=|a×b|=1$