Area of a rectangle having vertices and with position vectors and

MATHEMATICS · Single correct · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

12. Area of a rectangle having vertices

A, B, C

and

D

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 (A)

\frac{1}{2}

(B) 1 (C) 2 (D) 4