A smooth vector field g has curl g0 0 0 2i - 3j 5k


Question: A smooth vector field G has curl G(0, 0, 0) = 2i - 3j + 5k. Estimate the circulation around a circle of radius 0.01 centered at the origin in each of the following planes:

(a) xy-plane, oriented counterclockwise when viewed from the positive z-axis.

(b) yz-plane, oriented counterclockwise when viewed from the positive x-axis.

(c) xz-plane, oriented counterclockwise when viewed from the positive y-axis.

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Mathematics: A smooth vector field g has curl g0 0 0 2i - 3j 5k
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