# How do you find an ordered pair to represent 1/2u-v given u=<-1,4> and v=<3,-2>?

Sep 7, 2016

$< - 3 \frac{1}{2} , 4 >$

#### Explanation:

If $u = < - 1 , 4 >$
then $\frac{1}{2} u = < - \frac{1}{2} , 2 >$

and (if $v = < 3 , - 2 >$)

then $\frac{1}{2} u - v = < - \frac{1}{2} , 2 > - < 3 , - 2 >$

$\textcolor{w h i t e}{\text{XXX}} = < - \frac{1}{2} - 3 , 2 - \left(- 2\right) >$

$\textcolor{w h i t e}{\text{XXX}} = < - 3 \frac{1}{2} , 4 >$