Find, which statement is ""TRUE' for A vector field F
I. Solenoidal and irrotational if ∇ ⋅ F = 0 and ∇ × F = 0
II. Solenoidal but not irrotational, if ∇ ⋅ F ≠ 0 and ∇ × F = 0
III. Irrotational but not solenoidal, if ∇ × F ≠ 0 and ∇ ⋅ F ≠ 0
IV. Neither solenoidal nor irrotational, if ∇ ⋅ F ≠ 0 and ∇ × F ≠ 0