Given $\mathbf{v} = 3\mathbf{i} - 5\mathbf{j} + 2\mathbf{k}$ and $\mathbf{w} = -2\mathbf{i} + 3\mathbf{j} - 2\mathbf{k}$, the difference is:
\[
\mathbf{v} - \mathbf{w} = (3\mathbf{i} - 5\mathbf{j} + 2\mathbf{k}) - (-2\mathbf{i} + 3\mathbf{j} - 2\mathbf{k}).
\]
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