(a) What is curl of a vector field? Give its significance. Show that…

Question

(a) What is curl of a vector field? Give its significance. Show that curl of gradient of V is zero.

(b) Determine the constant 'a' so that vector field $\vec{A} = x^2\hat{i} + (y-2xy)\hat{j} + (x+az)\hat{k}$ is solenoidal.

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