Which of the following statement is correct?
1
A vector field A is said to be irrotational if ∇ ⋅ A = 0
2
A vector field A is said to be solenoidal if ∇ ⋅ A = 0
3
For a vector field A, the divergence of the curl of any vector field is zero i.e. ∇ × (∇ ⋅ A) = 0
4
An irrotational field A can always be expressed as, \(\mathop \oint \nolimits_s A \cdot ds = \mathop \oint \nolimits_V \nabla \cdot {\rm{Adv}} = 0\)