A particle moves such that its position vector \(\vec{r}(t)=\cos \omega t \hat{i}+\sin \omega t \hat{j}\) where \(\omega…

\(\vec{v}\) is perpendicular to \(\vec{r}\) and \(\vec{a}\) is directed towards the origin.

\(\vec{v}\) and \(\vec{a}\) both are parallel to \(\vec{r}\).

\(\vec{v}\) is perpendicular to \(\vec{r}\) and \(\vec{a}\) is directed away from the origin.

\(\vec{v}\) and \(\vec{a}\) both are perpendicular to \(\vec{r}\).