The magnitude of $\vec v$ is $8$, and its direction angle is $140^\circ$. The magnitude of $\vec w$ is $4$, and its direction angle is $40^\circ$. **Find the component form of $\vec v + \vec w$.** *It's okay to round your intermediate calculations and final answer to the nearest hundredth.* $\vec v + \vec w\approx (~$[[☃ numeric-input 1]]$~,$ [[☃ numeric-input 2]] $)~$