Chapter 1.3, Problem 3E

In Exercises 3 and 4, display the following vectors using arrows on an xy-graph: u, v, −v, −2v, u + v. u − v, and u − 2v. Notice that u − v is the vertex of a parallelogram whose other vertices are u, 0, and −v.

3. u and v as in Exercise 1 4. u and v as in Exercise 2

In Exercises 1 and 2, compute u + v and u − 2v.

1. $u=\left[\begin{array}{c}-1\\ 2\end{array}\right],v=\left[\begin{array}{c}-3\\ -1\end{array}\right]$