Question

Corollary: If a vector field F has a potential in a region R,

then the solution = 0 . Explain to me why this please with the
solution?

Answer 1

Answer and Explanation:

If a vector field F has a potential in a region R, then the solution is equal to 0 because if a vector field F admits a vector potential A, then from the equality ∇⋅(∇×A)=0 (divergence of the curl is zero) one obtains ∇⋅F=∇⋅(∇×A)=0, which implies that F must be a solenoidal vector field.