Answer
a). $1$
b). $1$
c). $1$
d). $\mathbf{i}$
e). $2$
Work Step by Step
$\mathbf{u}=\mathbf{i}$ and $\mathbf{v}=\mathbf{i}$
a). $\mathbf{u}\cdot\mathbf{v}=1\times1=1$
b). $\mathbf{u}\cdot\mathbf{u}=1\times1=1$
c). $\|\mathbf{u}\|^2= \mathbf{u}\cdot\mathbf{u}=1$
d). $(\mathbf{u}\cdot\mathbf{v})\mathbf{v}=1\mathbf{v}=\mathbf{i}$
e). $\mathbf{u}\cdot(2\mathbf{v})=\mathbf{i}\cdot2\mathbf{i}=1\times2=2$
