MCWG Worksheet 18-1b First Set: What does the line integral of a vector field over a curve measure?

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Section 5 First Set: What does the line integral of a vector field over a curve measure?

Problem 5.1.

Problem 5.2.

Problem 5.3.

Problem 5.4.

Subsection 5.1 Problem set wrap-up

Explain in your own words what the line integral of a vector field over a curve measures.
If $\int_{C} \vec{F}\cdot d\vec{r}=0\text{,}$ is $C$ perpendicular to $\vec{F}$ at all points of $C\text{?}$