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.
no, is exactly what i told you it was. it doesn't change. it is notation (conventionally) defined as i have it
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