Answer
$|\overrightarrow{u}|=13$;
$\overrightarrow{u} \cdot \overrightarrow{u}=169$;
$\overrightarrow{u} \cdot \overrightarrow{v}=2$
Work Step by Step
Here, we have $u=(5,12); v=(10-4)$
$|\overrightarrow{u}|=\sqrt {(5)^2+(12)^2}=\sqrt {169}=13$;
$\overrightarrow{u} \cdot \overrightarrow{u}=(5)^2+(12)^2=169$;
$\overrightarrow{u} \cdot \overrightarrow{v}=5(10)+12(-4)=50-48$
or, $\overrightarrow{u} \cdot \overrightarrow{v}=2$
