First, we are going to add these two vectors.
then
We are going to calculate the argument of the result vector.
u= <4,-1> and v= <3,5>
[tex]u+v=\ \textless \ 4,-1\ \textgreater \ +\ \textless \ 3,5\ \textgreater \ =\ \textless \ 7,4\ \textgreater \ [/tex]
[tex]|u+v|=|\ \textless \ 7,4\ \textgreater \ |= \sqrt{7^2+4^2} = \sqrt{65} [/tex]
>>rounded to the nearest tenth: [tex] \sqrt{65} =8.1[/tex]