Either use an appropriate theorem to show that the given set, W, is a vector space, or find a specific example to the contrary. P W = f Ax= S Rewrite the system of equations in the form Ax = 0. - 2p +3q = - 3s 2p = - 3s - r 20 P S II 0 0

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Solenoidal Vector Field

In Physics and Mathematics vector calculus attached to each point in a subset of space, there is an assignment of a vector in a field called a vector field.