# Field integral question

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• March 6th 2010, 08:16 AM
pkrleads
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.
• March 6th 2010, 08:27 AM
Miss
Quote:

Originally Posted by pkrleads
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.

What did you do?
You are given a start. Start by parametrizing each segment :)