Answer
$|\overrightarrow{u}|=\sqrt {8}=2\sqrt 2$;
$\overrightarrow{u} \cdot \overrightarrow{u}=8$;
$\overrightarrow{u} \cdot \overrightarrow{v}=0$
Work Step by Step
Here, we have $u=(-2,2); v=(1,1)$
$|\overrightarrow{u}|=\sqrt {(-2)^2+(2)^2}=\sqrt {8}=2\sqrt 2$;
$\overrightarrow{u} \cdot \overrightarrow{u}=(-2)^2+(2)^2=8$;
$\overrightarrow{u} \cdot \overrightarrow{v}=-2(1)+2(1)=-2+2$
or, $\overrightarrow{u} \cdot \overrightarrow{v}=0$
