Consider the vector field F(c,y,z) V (a) Calculate div F. Are there any points in R³ where div F is not defined? (b) Note that if r is the position vector for the point (x, y, z), then this vector field is F(r) = |||| Sketch a little bit of this vector field near the point (1,2,2). Starting at (1, 2, 2), as x, y, and z increase, will ||F|| increase or decrease? Starting at (1,2,2), as x, y, and z decrease, will ||F|| increase or decrease? Imagine a small sphere centered at the point (1,2,2), and consider the flow of F through this sphere. Explain why div F = 0 at this point.