If $\vec{L}$ and $\vec{P}$ represent the angular momentum and linear momentum respectively of a particle of mass $m$ having position vector $\vec{r} = a(\hat{i} \cos \omega t + \hat{j} \sin \omega t)$,the direction of the force acting on the particle is:

• A
  Opposite to the direction of $\vec{r}$
• B
  Opposite to the direction of $\vec{L}$
• C
  Opposite to the direction of $\vec{P}$
• D
  Opposite to the direction of $\vec{L} \times \vec{P}$