if f(x,y,z)= x^2+y^2-z
let F be the vector field defined by F=▽f. Calculate ▽. F (scalar product) and ▽X F (cross product)
Not all that sure about where F and ▽have come from, i have done scalar and cross products before but don't really know where to start on this, any help would be much appreciated.
just write it out as you have it and you will "see" it
by itself makes no sense. this is why i said it is a convention. means the partial derivative of f with respect to x