Question

If vectors $\overrightarrow{A}=\cos \omega t\hat{i}+\sin \omega t\hat{j}$ and $\overrightarrow{B}=\cos \frac{\omega t}{2}\hat{i}+\sin \frac{\omega t}{2}\hat{j}$ are functions of time, then the value of t at which they are orthogonal to each other is :

• A. $t=0$
• B. $t=\frac{\pi }{4\omega }$
• C. $t=\frac{\pi }{2\omega }$
• D. $t=\frac{\pi }{\omega }$

Answer 1

The correct option is D $t=\frac{\pi }{\omega }$