- #1

karush

Gold Member

MHB

- 3,269

- 5

Compute $u+v$ and $u-2v$

$u=\left[

\begin{array}{rr} 3\\2 \end{array}\right], v=\left[

\begin{array}{rr}2\\-1 \end{array}\right]

\quad u+v=\left[\begin{array}{rr}3+2\\2-1 \end{array}\right]=

\left[\begin{array}{rr}5\\4 \end{array}\right]

\quad u-2v=\left[\begin{array}{rr}3-2(2)\\2-2(-1) \end{array}\right]

=\left[\begin{array}{rr}1\\0 \end{array}\right]$

ok I think this is correct typos maybe, but the next question is

Display the vectors using arrows on an xy-graph

$u,v, -v, -2v, u+v, u-v, $ and $u-2v$

I was going to try this with tikx but was looking for an example to follow since we use arrows

also is these vectors $\mathbb{R}^2$

Mahalo