There are so many theorems regarding independence of path and vector fields being conservative.

Question:

Is the following statement true?

If a vector field F is conservative, then it is independent of path.

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- November 26th 2010, 02:21 PMdivinelogosIndependence of Path
There are so many theorems regarding independence of path and vector fields being conservative.

Question:

Is the following statement true?

If a vector field F is conservative, then it is independent of path. - November 26th 2010, 02:28 PMdwsmith
A line integral of a conservative vector field is the same no matter which path you take (Fundamental Theorem of Line Integrals).