A particle moves so that its position vector is given by $\vec{r}=\cos \omega t\hat{x}+\sin \omega t\hat{y}$ where $\omega$ is a constant. Which of the following is true?

1. A
   Velocity and acceleration both are parallel to $\vec{r}$
2. B
   Velocity is perpendicular to $\vec{r}$ and acceleration is directed towards the origin.
3. C
   Velocity is perpendicular to $\vec{r}$ and acceleration is directed away from the origin.
4. D
   Velocity and acceleration both are perpendicular to $\vec{r}$