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Line integrals of vector fields on closed
Chapter 13, Problem 37E(choose chapter or problem)
QUESTION:
Evaluate \(\oint_{C} \mathbf{F} \cdot d \mathbf{r}\) for the following vector fields and closed oriented curves C by parameterizing C. If the integral is not zero, give an explanation.
\(\mathbf{F}=\langle x, y, z\rangle\); \(C: \mathbf{r}(t)=\langle\cos t, \sin t, 2\rangle\), for \(0 \leq t \leq 2 \pi\)
Questions & Answers
QUESTION:
Evaluate \(\oint_{C} \mathbf{F} \cdot d \mathbf{r}\) for the following vector fields and closed oriented curves C by parameterizing C. If the integral is not zero, give an explanation.
\(\mathbf{F}=\langle x, y, z\rangle\); \(C: \mathbf{r}(t)=\langle\cos t, \sin t, 2\rangle\), for \(0 \leq t \leq 2 \pi\)
ANSWER:Solution 37E