Answer
$\textbf{u+v}=\langle a+c,b+d \rangle$
Work Step by Step
The rules of vector addition say that if two vectors are added together, their x-components and y-components are added together. Therefore, if $\textbf{u}=\langle a,b \rangle$ and $\textbf{v}=\langle c,d \rangle$, then the resultant vector $\textbf{u+v}$ is
$\textbf{u+v}=\langle a+c,b+d \rangle$