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Draw a circle in the xy plane. At a few representative

Chapter 1, Problem 19P

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QUESTION:

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  and . According to Eq. 1.41,then, what is the direction of xv? Explain how this example illustrates the geometrical interpretation of the curl.

Reference: Eq 1.41:

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QUESTION:

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  and . According to Eq. 1.41,then, what is the direction of xv? Explain how this example illustrates the geometrical interpretation of the curl.

Reference: Eq 1.41:

ANSWER:

Step 1 of 3

We have to draw the circle in the xy plane, the direction of velocity we need to represent  in some points.

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