The magnitude of a vector \(\mathbf{v} = a\mathbf{i} + b\mathbf{j} + c\mathbf{k}\) is given by \(\|\mathbf{v}\| = \sqrt{a^2 + b^2 + c^2}\). For \(\mathbf{v} = 3\mathbf{i} - 5\mathbf{j} + 2\mathbf{k}\), we have:
\[
\|\mathbf{v}\| = \sqrt{3^2 + (-5)^2 + 2^2} =
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