This post categorized under Vector and posted on July 21st, 2018.

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Expert Q&A Home home study math calculus calculus questions and answers 1. Is There A Vector Field G On R3 Such That Curl G The curl of a vector field is also a vector field. Quiz on Div and Curl. Choose the solutions from the options given 1. Select the divergence of G(x y z) 2x 3 i 3xy j 3x 2 z k (a) 9x 2 3x (b) 6x 2 3x (c) 0 (d) 3x 2 3x. 2. Select the divergence of r r 3 where r r and r x i y j z k (a) 1 r 3 (b) 0 (c) 2 r 3 (d) 3 r 3. 3. Choose the curl of G (x y F(x y z) (x yz)i (y xz)j (z xy)k (a) Find the curl of the vector field. (b) Find the divergence of the vector field. (b) Find the divergence of the vector field

If G is a smooth vector field we must have div curl G 0. But div h xyz y 2 z yz 2 i yz 2 yz 2 yz 5 yz 6 0 so such a G does not exist. 4

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