a) f is a scalar b) f is a vector
Although this may seem like an easy answer, I'm not sure if...
f is a scalar because to get the components inside the vector you need to take the derivative, which would result in 0's if it were a scalar.
OR
f is a vector because... it's in vector form. I don't think this is the case as the gradient ∇ is the vector.
Am i right/wrong?