Question

F1 = [ z, y, x ]
and
F2 = [ z, y, -x ]

A. Which of these vector fields is the gradient of a scalar?
B. For the vector field that is NOT a gradient, what is theaxis/direction of the curl?

C. On your paper, with the axis direction of the curl of the vectorfield that is NOT a gradient, coming perpendicularly OUT of thepaper (which means that the rotation is in the plane of the paper).Draw a few vectors