Lucas programs his quadcopter to fly with a velocity (speed and direction) vector $\vec{p} = 4\hat i + 7\hat j$, which should send it straight at its target (in the absence of wind). To his dismay, his quadcopter actually moves with a velocity vector $\vec{a} = 2\hat i + 8\hat j$.
(Speeds are given in meters per second, $\text{m}/\text{s}$.)
**What is the speed of the wind?**
[[☃ numeric-input 1]]$\,\text{m}/\text{s}$
(Round your final answer to the nearest tenth.)
**In what direction is the wind blowing? Assume $0^\circ$ is the rightward direction.**
[[☃ numeric-input 2]]$^\circ$
(Round your final answer to the nearest degree. Your answer should be between $0^\circ$ and $360^\circ$.)
