Does someone knows how calculate scalar product of two gradients and put the result in terms of nabla operator? .

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$(\vec\nabla{\gamma})\cdot(\vec\nabla{\gamma})$ = ?

Does someone knows how calculate scalar product of two gradients and put the result in terms of nabla operator using indicial notation? .

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Your question is too ambiguous, as of now, the best answer I can give you is $\left( \vec{\nabla} \gamma \right) \cdot \left( \vec{\nabla} \gamma \right) = \left \| \vec{\nabla} \gamma \right \|^2$. Can you specify your question ?