Q. The area o the parallelogram represented by the vectors. $\overrightarrow{A} = 4\widehat{i} + 3\widehat{j}$ and $\overrightarrow{B} = 2\widehat{i} + 4\widehat{j}$ is
A) 14 units
B) 7.5 units
C) 10 units
D) 5 units
Explanation
(c) Area $= \left| \overrightarrow{A} \right| \times \left| \overrightarrow{B} \right| = \left| \left( 4\widehat{i} + 3\widehat{j} \right) \times (2\widehat{i} + 4\widehat{j}) \right| = \left| 10\widehat{k} \right| = 10$units
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.