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Explain What Is Meant by Saying a Vector Field Is F\vec{F}

Question 55

Multiple Choice

Explain what is meant by saying a vector field is conservative.


A) A vector field F\vec{F} is called conservative if for any two points P and Q, the line integral
CFdr\int_{C} \vec{F} \cdot d \vec{r} has the same value along any path C from P to Q lying in the domain of
F\vec{F}
B) A vector field F\vec{F} is called conservative if for any two points P and Q, the line integral
CFdr\int_{C} \vec{F} \cdot d \vec{r} has a different value along any path C from P to Q lying in the domain of
F\vec{F}
C) A vector field F\vec{F} is called conservative if for any two points P and Q, the line integral
CFdr\int_{C} \vec{F} \cdot d \vec{r} has the same value along a path C from P to Q lying in the domain of
F\vec{F}
D) A vector field F\vec{F} is called conservative if for two specific points P and Q, the line integral
CFdr\int_{C} \vec{F} \cdot d \vec{r} has the same value along any path C from P to Q lying in the domain of
F\vec{F}

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