Chapter 10 - 10.2 - Operations with Matrices - 10.2 Exercises - Page 725: 59

Part A: $\begin{bmatrix} 3\\ 6\\ \end{bmatrix}$ = <3, 6> Part B: $\begin{bmatrix} -7\\ -2\\ \end{bmatrix}$ = Part C: $\begin{bmatrix} 17\\ 10\\ \end{bmatrix}$ = <17, 10>

First rewrite the vectors as matrices: u = $\begin{bmatrix} -2\\ 2\\ \end{bmatrix}$ v = $\begin{bmatrix} 5\\ 4\\ \end{bmatrix}$ Part A: $\begin{bmatrix} -2+5\\ 2+4\\ \end{bmatrix}$ = $\begin{bmatrix} 3\\ 6\\ \end{bmatrix}$ = <3, 6> Part B: $\begin{bmatrix} -2-5\\ 2-4\\ \end{bmatrix}$ = $\begin{bmatrix} -7\\ -2\\ \end{bmatrix}$ = Part C: $\begin{bmatrix} (3)5 + 2\\ (3)4 - 2\\ \end{bmatrix}$ = $\begin{bmatrix} 17\\ 10\\ \end{bmatrix}$ = <17, 10>