Solution Found!
Answer: Line integrals of vector fields on closed curves
Chapter 13, Problem 35E(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.
\(\mathbf{F}=\langle x, y\rangle\); C is the triangle with vertices \((0, \pm 1)\) and (1, 0) oriented counterclockwise.
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.
\(\mathbf{F}=\langle x, y\rangle\); C is the triangle with vertices \((0, \pm 1)\) and (1, 0) oriented counterclockwise.
ANSWER:Solut