WeBWorK Standalone Renderer

Suppose $C$ is the closed, oriented curve in the figure. Sketch each vector field $\vec{F}$ given below and determine whether each of the following vector fields has positive, negative, or zero circulation around $C$ .

1. $\vec{F} = -y \vec{i} + x \vec{j}$

2. $\vec{F} = x \vec{i} + y \vec{j}$

3. $\vec{F} = y \vec{i} - x \vec{j}$

In order to get credit for this problem all answers must be correct.