The magnitude of $\vec v$ is $7$, and its direction angle is $310^\circ$. The magnitude of $\vec w$ is $3$, and its direction angle is $70^\circ$. **Find the magnitude and direction angle of $\vec v + \vec w$.** *It's okay to round your intermediate calculations and final answer to the nearest hundredth. Angle should be between $\textit0\,^\circ$ and $\textit{360}\,^\circ$.* **The magnitude of $\vec v + \vec w$ is** [[☃ numeric-input 5]]. **The direction angle of $\vec v + \vec w$ is** [[☃ numeric-input 6]]$^\circ$.