Let $\vec { G }$ Be a Smooth Vector Field with Curl

Essay

Let $\vec { G }$ be a smooth vector field with curl $\vec { G } ( 0,0,0 ) = - 3 \vec { i } - 4 \vec { j } + 4 \vec { k }$ Estimate the circulation around a circle of radius 0.01 in the yz plane, oriented counterclockwise when viewed from the positive x-axis.