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so what you are saying is that instead of just del I should have used del f for notation?
(∂f/∂x)x+(∂f/∂y)y+(∂f/∂z)z (where x, y, and z should be x(hat), y(hat), and z(hat))
so if I am right which I probably am not then (a) 6yUx+(-0)+zUz the reason I put 0 is the the partial derivative of -2xz with respect to y is 0 correct since there is no y term.
dang I felt it might have actually been right. was it simply this 6yi+k
∇V1=(∂f/∂x)i+(∂f/∂y)j+(∂f/∂z)k= 6y i + k
∂(V1)/∂x = 6y i sorry I forgot the "i" in the previous post.
(6y-2z)i + (6x)j + (1-2x)k
for V2 (10cos(phi))-z)i-(10sin(phi))j-(ρ)k
for V3 ((-2/r^2)cos(phi))i-((2sin(phi))/(r^2sin(theta)))k
for V3 ((-2/r^2)cos(phi))i-((2sin(phi))/(r^2sin(theta)))k