Perfect! For $$\vec{A} - \vec{B}$$, you need to subtract the x- and the y-components separately. The x-component will be $$8-10$$ and the y-component will be $$4-2$$.
If $$\vec{A} = 3\hat{i} - 4\hat{j}$$, this is the same as writing
$$\vec{A} = 3\hat{i} + \left(-4\right)\hat{j}$$ That is, the y-component of $$\vec{A}$$ is $$-4$$. If
$$\vec{B} = -5\hat{i} - 6\hat{j}$$
$$\vec{A} - \vec{B} = \left(3 - \left(-5\right) \right) \hat{i} + \left(-4 - \left( -6 \right) \right) \hat{j}$$ $$= 8 \hat{i} + 2 \hat{j}$$
If $$\vec{A} = -2\hat{i} - 5\hat{j}$$ and $$\vec{B} = -8\hat{i} + 3\hat{j}$$, what is $$\vec{A} - \vec{B}$$?
• $$-10\hat{i} + 2\hat{j}$$
• $$6\hat{i} - 8\hat{j}$$
• $$-6\hat{i} - 2\hat{j}$$
• $$6\hat{i} + 2\hat{j}$$