Answer
$\overrightarrow{a}+\overrightarrow{b}=<1,3,4>$
Work Step by Step
$\overrightarrow{a}=<1,3,-2>$
$\overrightarrow{b}=<0,0,6>$
To add vectors we add the components individually as such:
$\overrightarrow{a}+\overrightarrow{b}=<(1+0),(3+0),(-2+6)>$
$$\overrightarrow{a}+\overrightarrow{b}=<1,3,4>$$