# Math Help - Field integral question

1. ## Field integral question

If the vector field is $\vec{F}=xy\vec{i}+yz\vec{j}+zx\vec{k}$

How do you calculate $\int^{}_{C}\vec{F}\cdot d\vec{r}$ where $C$ is the polygonal path from $(1,0,0)$ to $(0,1,0)$ to $(0,0,1)$ by parametrizing each segment.

If the vector field is $\vec{F}=xy\vec{i}+yz\vec{j}+zx\vec{k}$
How do you calculate $\int^{}_{C}\vec{F}\cdot d\vec{r}$ where $C$ is the polygonal path from $(1,0,0)$ to $(0,1,0)$ to $(0,0,1)$ by parametrizing each segment.