Question: A planar vector field v(.x, y) = (u(x, y), v(x, y))T is called irrotational if it has zero divergence: Prove that the set of all

A planar vector field v(.x, y) = (u(x, y), v(x, y))T is called irrotational if it has zero divergence:
A planar vector field v(.x, y) = (u(x, y), v(x,

Prove that the set of all irrotational vector fields forms a subspace of the space of all vector fields.

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