Q. The sum of two vectors $\overrightarrow{A}$ and $\overrightarrow{B}$ is at right angles to their difference. Then
A) $A = B$
B) $A = 2B$
C) $B = 2A$
D) $\overrightarrow{A}$ and $\overrightarrow{B}$ have the same direction
Explanation
(a) $\left( \overrightarrow{A} + \overrightarrow{B} \right) \bullet \left( \overrightarrow{A} - \overrightarrow{B} \right) = 0$
$A^{2} - B^{2} = 0$ or $A = B$.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.