Q. If $O$ is origin of $C$ is the mid point of $A(2, - 1)$ and $B( - 4,\ 3)$. Then, the value of $\overrightarrow{\mathbf{OC}}$ is
A) $\widehat{\mathbf{i}}\mathbf{+}\widehat{\mathbf{j}}$
B) $\widehat{\mathbf{i}}\mathbf{-}\widehat{\mathbf{j}}$
C) $\mathbf{-}\widehat{\mathbf{i}}\mathbf{+}\widehat{\mathbf{j}}$
D) $\mathbf{-}\widehat{\mathbf{i}}\mathbf{-}\widehat{\mathbf{j}}$
Explanation
(c)
Since, $C$ is the mid point of $A(2, - 1)and\ B( - 4,\ 3).$
$\therefore$ Coordinates of $C$ is $\left( \ \frac{2 - 4}{2},\frac{- 1 + 3}{2}\ \right) = ( - 1,\ 1)$
$\therefore\ \overrightarrow{\mathbf{OC}}\mathbf{= -}\widehat{\mathbf{i}}\mathbf{+}\widehat{\mathbf{j}}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.