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Display information for equation id:math.224637.12 on revision:224637

* Page found: Del (eq math.224637.12)

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Hash: 9748d550d401cee28dee4f6c455c5772

TeX (original user input):

\nabla \cdot (\vec u \times \vec v) = \vec v \cdot (\nabla \times \vec u) - \vec u \cdot (\nabla \times \vec v)

TeX (checked):

\nabla \cdot ({\vec {u}}\times {\vec {v}})={\vec {v}}\cdot (\nabla \times {\vec {u}})-{\vec {u}}\cdot (\nabla \times {\vec {v}})

LaTeXML (experimental; uses MathML) rendering

MathML (6.959 KB / 1.065 KB) :

( u × v ) = v ( × u ) - u ( × v ) 𝑢 𝑣 𝑣 𝑢 𝑢 𝑣 {\displaystyle\nabla\cdot({\vec{u}}\times{\vec{v}})={\vec{v}}\cdot(\nabla% \times{\vec{u}})-{\vec{u}}\cdot(\nabla\times{\vec{v}})}
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SVG (8.458 KB / 2.342 KB) :

nabla dot left-parenthesis ModifyingAbove u With right-arrow times ModifyingAbove v With right-arrow right-parenthesis equals ModifyingAbove v With right-arrow dot left-parenthesis nabla times ModifyingAbove u With right-arrow right-parenthesis minus ModifyingAbove u With right-arrow dot left-parenthesis nabla times ModifyingAbove v With right-arrow right-parenthesis

SVG (MathML can be enabled via browser plugin) rendering

MathML (2.632 KB / 462 B) :

( u × v ) = v ( × u ) u ( × v ) {\displaystyle \nabla \cdot ({\vec {u}}\times {\vec {v}})={\vec {v}}\cdot (\nabla \times {\vec {u}})-{\vec {u}}\cdot (\nabla \times {\vec {v}})}
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SVG (5.567 KB / 2.014 KB) :

{\displaystyle \nabla \cdot ({\vec {u}}\times {\vec {v}})={\vec {v}}\cdot (\nabla \times {\vec {u}})-{\vec {u}}\cdot (\nabla \times {\vec {v}})}

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