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Define an irrotational vector. Find the constants 𝑎.𝑏 and 𝑐 for given equation.

3 c]Define an irrotational vector. Find the constants 𝑎,𝑏 and 𝑐 such that $\overrightarrow{F}=(axy-z^{3}) \widehat{i}+(bx^{2}+z)\widehat{j}+(bxz^{2}+cy)\widehat{k}$ is irrotational.

Define an irrotational vector. Find the constants 𝑎,𝑏 and 𝑐 such that <span class="wp-katex-eq" data-display="false">\overrightarrow{F}=(axy-z^{3}) \widehat{i}+(bx^{2}+z)\widehat{j}+(bxz^{2}+cy)\widehat{k}</span> is irrotational — Define an irrotational vector. Find the constants 𝑎,𝑏 and 𝑐 such that $\overrightarrow{F}=(axy-z^{3}) \widehat{i}+(bx^{2}+z)\widehat{j}+(bxz^{2}+cy)\widehat{k}$ is irrotational

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