If \(\vec{L}\) and \(\vec{P}\) represent the angular momentum and linear momentum respectively of a particle of mass ' \…

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

[JEE Main 2025, 4 Apr (Shift 1)]