Practice Test 7

A boat’s velocity relative to the water is $\langle 5,0\rangle$ m/s and the current’s velocity is $\langle 0,2\rangle$ m/s. Using component-wise addition, what is the resultant velocity vector $\langle 5,0\rangle+\langle 0,2\rangle$?​

A hiker walks $5$ units east and then $-2$ units east (i.e., $2$ units west). Treat these as vectors on the $x$-axis: $\mathbf{u}=\langle 5,0\rangle$ and $\mathbf{v}=\langle -2,0\rangle$. What are the components of $\mathbf{u}+\mathbf{v}$?​