You are walking around a closed curve C with no loops (a curve like a distorted

Question

You are walking around a closed curve C with no loops (a curve like a distorted circle) in the counterclockwise way, and at time t, you are at the point {x[t], y[t]}. The unit normal Vector outerunitnormal[t] = {y1(t)-x1(t)}/ x1(t)2+ y1(t)2 with tail at (x[t], y[t]) points out away from the curve toward your right foot. When you use this unit normal to measure the flow of a vector field Field[x, y] = {m[x, y], n[x, y]} across C, you calculate -n[x, y]dx +{ m[x, y]dy = . F.outerunitnormal ds. How do you interpret the result if -n[x, y]dx + m[x, y] dy > 0?

Explanation / Answer

You are walking around a closed curve C with no loops (a curve like a distorted

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