Question 857575
2<span style="text-decoration: overline">U</span> - 3<span style="text-decoration: overline">V</span> given the vectors <span style="text-decoration: overline">U</span> = <3,-1> and <span style="text-decoration: overline"><span style="text-decoration: overline">U</span></span> = <4,-2>
<pre>
Just substitute the vectors for the letters:

2<span style="text-decoration: overline">U</span> - 3<span style="text-decoration: overline">V</span>

Consider it as an addition:

2<span style="text-decoration: overline">U</span> + (-<span style="text-decoration: overline">V</span>)

2<3,-1> + (-3<4,-2>)

Multiply the two components for the scalars
just like the distibutive principle:

<6,-2> + <-12,6>

Then add the like components:

<-6,4>

Easy!

Edwin</pre>