Given \(\mathbf{v} = 3\mathbf{i} - 5\mathbf{j} + 2\mathbf{k}\) and \(\mathbf{w} = -2\mathbf{i} + 3\mathbf{j} - 2\mathbf{k}\), add the corresponding components:
\[
\mathbf{v} + \mathbf{w} = (3\mathbf{i} - 5\mathbf{j} + 2\mathbf{k}) + (-2\mathbf{i} + 3\mathbf{j} -
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