Area of a rectangle having vertices P, Q, R and S with position vectors $-\hat{i}+\frac{1}{2} \hat{j}+4 \hat{k}, \hat{i}+\frac{1}{2} \hat{j}+4 \hat{k}, \hat{i}-\frac{1}{2} \hat{j}+4 \hat{k}$ and $-\hat{i}-\frac{1}{2} \hat{j}+4 \hat{k}$ respectively is:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) - 2
$\vec{QP}=\vec P-\vec Q=2\hat i$
$\vec{QR}=\vec R-\vec Q=-\hat j$
area = $|\vec{QP}×\vec{QR}|=2$ sq. units