Given \(\mathbf{v} = \mathbf{i} - \mathbf{j} + \mathbf{k}\), the vector \(\mathbf{v}\) can be written in component form as \(\mathbf{v} = (1, -1, 1)\). Here, the components along the \(x\)-, \(y\)-, and \(z\)-axes are 1, -1, and 1, respectively.
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