Suppose a Curve C Is Parameterized By $\vec { r } ( t )$

question 73

Essay

Suppose a curve C is parameterized by $\vec { r } ( t )$ with $a \leq t \leq b$ and suppose $\vec { F }$ is a vector field $\vec{F}(t)=\vec{r}(t) \times \vec{r}^{\prime}(t)$ for $a \leq t \leq b$ .Explain why $\int _ { C } \vec { F } \cdot d \vec { r } = 0$

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Companies whose primary business activities, products, or services are based on the internet, including e-commerce, online services, and digital platforms.

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