# Chapter 3 - Vectors - Problems: 16a

$8\,m\,\hat{i}+2\,m\,\hat{j}$

#### Work Step by Step

We're given that $\vec{a} = (3\,m)\hat{i} + (4\,m)\hat{j}$ and $\vec{b} = (5\,m)\hat{i} + (-2\,m)\hat{j}$. We can add these vectors component-wise. $\vec{a}+\vec{b} = (3\,m+5\,m)\hat{i} + (4\,m-2\,m)\hat{j} = 8\,m\,\hat{i}+2\,m\,\hat{j}$.

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