Consider the Vector Field $\vec { F } = ( A x + B y ) \vec { i } + ( B x + C y ) \vec { j }$

Essay

Consider the vector field $\vec { F } = ( A x + B y ) \vec { i } + ( B x + C y ) \vec { j }$ for certain constants A, B and C.
Use the definition of the line integral to evaluate $\int_{C} \vec{F} \cdot d \vec{r}$ , where C is the line from (1, 0)to (11, 1).