The position vector \(\mathbf{r}\) can be expressed as:
\[
\mathbf{r} = x \mathbf{i} + y \mathbf{j} + z \mathbf{k}
\]
where \(x\), \(y\), and \(z\) are the coordinates of a point in space, and \(\mathbf{i}\), \(\mathbf{j}\), and \(\mathbf{k}\) are the unit vectors
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