Let F = F + F2J + Fzł be a vector field on R3 and let f be a real-valued function on R3. 1. The divergence of F is a circle one) scalar / vector defined by: VF= 2. The curl of F is a (circle one) scalar / vector defined by: XF= 3. Determine the following quantities, and say whether each is a scalar or a vector (a) The curl of the gradient of f: xvf (b) The divergence of the curl of F: V. ( x ) 4. A vector field G is called conservative if it is equal to the gradient of some real-valued function g. That is, if Ğ = Vg. Suppose that Ğ is conservative and find its curl G.