Answer
$a+b= [(3.0m)]\hat{i}+[(-2.0m)]\hat{j}+[(5.0m)]\hat{k}$
Work Step by Step
We add up the two vectors to obtain:
$\vec{a}+\vec{b}==[(4.0m)+(-1.0m)]\hat{i}+[(-3.0m)+(1.0m)]\hat{j}+[(1.0m)+(4.0m)]\hat{k}$
$= [(3.0m)]\hat{i}+[(-2.0m)]\hat{j}+[(5.0m)]\hat{k}$