WeBWorK Standalone Renderer

Consider the vector field $\vec{F}$ shown in the figure below together with the paths $C_1$ , $C_2$ , and $C_3$ .

Graph of a constant vector field pointing horizontally to the right. Curve C1 is a diagonal line with a length 1.67 extending from the top center of the graph down to the left, moving down about 1.5 units and to the left 0.75 units. Curve C2 is a vertical line extending from a point to the right side of the graph upwards 1.5 units. Curve C3 is a horizontal line segment with a length 1.5, extending along the bottom of the graph from right to left.

(Note: For the vector field, vectors are shown with a dot at the tail of the vector.)

Arrange the line integrals $\int_{C_1} \vec{F} \cdot d\vec{r}$ , $\int_{C_2} \vec{F} \cdot d\vec{r}$ and $\int_{C_3} \vec{F} \cdot d\vec{r}$ in ascending order:

$<$ $<$ .

You can earn partial credit on this problem.