Q .     If vector `\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 times, then the value of `t` at which they are orthogonal to each other is:

AIPMT 2015
A

`t = 0`

B

`t = \frac{\pi}{4 \omega}`

C

`t = \frac{\pi}{2\omega}`

D

`t = \frac{\pi}{\omega}`

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