a) \(xy^2\hat{i} – 2xyz\hat{k}\) & irrotational
b) 0 & irrotational
c) \(xy^2\hat{i} – 2xyz \hat{k} \) & rotational
d) 0 & rotational
Curl of \(\vec{f} (x, y, z) = 2xy \hat{i}+ (x^2+z^2)\hat{j} + 2zy\hat{k} \) is ________
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Curl of \(\vec{f} (x, y, z) = 2xy \hat{i}+ (x^2+z^2)\hat{j} + 2zy\hat{k} \) is ________
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