Answer
$\|\mathbf{v}\|=\sqrt{74}$
Work Step by Step
$\mathbf{v}=-4\mathbf{i}+3\mathbf{j}+7\mathbf{k}$ and so
$\|\mathbf{v}\|=\sqrt{(-4)^2+3^2+7^2}=\sqrt{16+9+49}=\sqrt{74}$
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