1. Assume that F(x,y, z) is a 3D vector field and f (x,y,z) is a function of 3 variables. For each o the quantities below, determine if the expression is nonsense, a vector, or a scalar. (Something like ( 2,3 ) × ( 0,1 ) would be an example of "nonsense," since it is not possible to take the cross-product of two-dimensional vectors.) F(x, y,z) Nonsense Scalar Vector f(x, y, z) Scalar Nonsense Vector Vf(x,y, z) Nonsense Vector Scalar div F (x,y, z) Scalar Nonsense Vector div f (x,y,z) Nonsense Vector Scalar curl F(x,y,z) Nonsense Vector Scalar div curl F (x, y,z) Nonsense Vector Scalar curl div F (x,y,z) Scalar Nonsense Vector curl Vf(x, y, z) Nonsense Scalar Vector

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