If L and P represent the angular momentum and linear momentum respectively of a particle of mass ' m ' having position vector as r =a( i cos ω t+ j…

If $\displaystyle \vec{L}$ and $\displaystyle \vec{P}$ represent the angular momentum and linear momentum respectively of a particle of mass ' $\displaystyle m$ ' having position vector as $\displaystyle \vec{r}=a(\hat{i} \cos \omega t+\hat{j} \sin \omega t)$. The direction of force is