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

question 55

Multiple Choice

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

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

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