Does the definition of the vector triple-product hold for operators?(adsbygoogle = window.adsbygoogle || []).push({});

I know that for regular vectors, the vector triple product can be found as [itex]\mathbf{a}\times(\mathbf{b}\times\mathbf{c})=( \mathbf{a} \cdot\mathbf{c})\mathbf{b}-(\mathbf{a}\cdot\mathbf{b})\mathbf{c}[/itex]. Does this identity hold for vectoroperatorsas well? Specifically, does it hold for [itex]\mathbf{\hat A}\times(\mathbf{\nabla}\times\mathbf{\hat C})[/itex]? And if not, is there any other useful identity for determining this product?

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# Does the vector triple-product identity hold for operators?

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