Word Count : 241

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We want to show that: \[ \vec{\nabla} \times (\vec{u} \times \vec{r}) = 2\vec{u} \] where \(\vec{u}\) is a constant vector and \(\vec{r} = (x, y, z)\) is the position vector. ### Step 1: Apply the Vector Triple Product Identity Using the vector triple product identity: \[ \vec{A} \times (\vec{B} \times \vec{C}) = (\vec{A} \cdot \vec{C}) \vec{B} - (\vec{A} \cdot \vec{B}) _________ ________ ____ ________ __________ ___ ________.
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