Answer
$\lt -17,32 \gt$ and $\sqrt {1313}$
Work Step by Step
The formula to find the magnitude of a vector is:
$|n|=\sqrt{n_1^2+n_2^2}$
Here, $3u -4v=3\lt -3,4 \gt -4 \lt 2,-5 \gt =\lt -17,32 \gt$
and $|\lt -17,32\gt|=\sqrt{(-17)^2+(32)^2}=\sqrt {1313}$
Hence, our final answers are: $\lt -17,32 \gt$ and $\sqrt {1313}$
