Solve

3.B] If \vec{F} = \nabla(xy^3z^2) , find \nabla \cdot \vec{F} and \nabla \times \vec{F} at (1, -1, 1).

Answer:

If <span class="wp-katex-eq" data-display="false"> \vec{F} = \nabla(xy^3z^2) </span>, find <span class="wp-katex-eq" data-display="false"> \nabla \cdot \vec{F} </span> and <span class="wp-katex-eq" data-display="false"> \nabla \times \vec{F} </span> at (1, -1, 1).

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