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Draw a circle in the xy plane. At a few representative points draw the vector v tangent to the circle , pointing in the clockwise
Draw a circle in the xy plane. At a few representative points draw the vector v tangent to the circle , pointing in the clockwise direction. By comparing adjacent vectors, determine the sign of dvx/dy and dvy/dx. According to eq 1.41, then, what is the direction of (gradient operator) X v (curl v)? Explain how this example illustrates the geometrical interpretation of the curl.
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