Calculate the power (per volume) if the stress tensor is: [overrightarrow{vec{T}}=left(begin{array}{ccc} 10 x & 5 y &

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Calculate the power (per volume) if the stress tensor is:

\[\overrightarrow{\vec{T}}=\left(\begin{array}{ccc} 10 x & 5 y & 6 x \\ 5 y & 2 y & 25 y \\ 6 x & 25 y & 3 z \end{array}\right)\]

with a velocity vector is \(\vec{V}=\hat{i}+2 \hat{j}-2 \hat{k}\) and no body force.

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