Given the Graph of the Vector Field $\vec{F}$ , Shown Below, List the Following Quantities in Increasing Order

Essay

Given the graph of the vector field, $\vec{F}$ , shown below, list the following quantities in increasing order: $\int _ { C _ { 1 } } \bar { F } \cdot d \vec { r } , \quad \int _ { C _ { 2 } } \bar { F } \cdot d \vec { r } , \quad \int _ { C _ { 3 } } \bar { F } \cdot d \vec { r } .$