This is for a homework problem, but I'm asking just a conceptual question. Is it possible to use the del operator on a standard vector? That's what I'm being asked to do, but I thought that was supposed to be used for fields, not single vectors.
For example, the vector 3.5x+6y+4z is given, and it asks for the Divergence and Curl. But I would assume both of these to be 0 or a zero vector because there is no derivative of the components of the vector. Another asks for the gradient of a vector <5,6,3> if its in rectangular, cylindrical, or spherical(Which also doesn't make much sense to me), but theres no taking dx of 5 or dy of 6, its all just 0.
It seems odd that half of the questions asked of me are ending in just 0 for everything, so Im worried Im misunderstanding how the del operator is supposed to work. Are these values supposed to all just be 0?