Answer
$(2\,m)\hat{i}-(6\,m)\hat{j}$
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 subtract these vectors component-wise;
$\vec{b}-\vec{a} = (5\,m-3\,m)\hat{i} + (-2\,m-4\,m)\hat{j}$
$\vec{b}-\vec{a} = (2\,m)\hat{i}-(6\,m)\hat{j}$