1. The problem statement, all variables and given/known data
Assume F⃗ is a vector field and ∇× F⃗ = 0 What can one conclude about F?
A. F=0
B. F=∇ƒ
C. F=∇*g
D. F=∇×g
E. Something else
2. Relevant equations
None
3. The attempt at a solution
I havent really made a proper attemt at solving the problem since I'm confused. I though of curl f = 0 then F should be conservative but that doesn't always have to be the case. I also thought of Green's theorem but i think i'd be way of. I could really use a hint
Assume F⃗ is a vector field and ∇× F⃗ = 0 What can one conclude about F?
A. F=0
B. F=∇ƒ
C. F=∇*g
D. F=∇×g
E. Something else
2. Relevant equations
None
3. The attempt at a solution
I havent really made a proper attemt at solving the problem since I'm confused. I though of curl f = 0 then F should be conservative but that doesn't always have to be the case. I also thought of Green's theorem but i think i'd be way of. I could really use a hint
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