below math question If f is a scalar field and F, G are vector fields, then fF, F· G, and F x G are defined by the following.(FF)(x, у, 2) 3 f(x, у, z) F(x, у, z)(F: G)(x, у, 2) %3D F(x, у, 2) G(х, у, z)(Fx G)(х, у, z) %3D F(x, у, z) x G(x, у, z)Find an identical expression, assuming that the appropriate partial derivatives exist and are continuous.curl (F + G)div F + div GG• curl F -F• curl Gcurl F + div Gcurl F + curl Gnone of the above

Given that F and G are 2 vector fields. Let the component form of the vector field F be F=F1, F2, F3…

If f is a scalar field and F, G are vector fields, then fF, F· G, and F × G are defined by the following. (FF)(x, у, 2) 3D f(x, у, z) F(x, у, 2) (F : G)(x, у, 2) %3D F(x, у, 2) . G(х, у, z) (Fx G)(х, у, z) %3D F(x, у, 2) х G(x, у, z2) Find an identical expression, assuming that the appropriate partial derivatives exist and are continuous. curl (F + G) div F + div G G· curl F - F• curl G O curl F + div G curl F + curl G none of the above

If f is a scalar field and F, G are vector fields, then fF, F· G, and F × G are defined by the following. (FF)(x, у, 2) 3D f(x, у, z) F(x, у, 2) (F : G)(x, у, 2) %3D F(x, у, 2) . G(х, у, z) (Fx G)(х, у, z) %3D F(x, у, 2) х G(x, у, z2) Find an identical expression, assuming that the appropriate partial derivatives exist and are continuous. curl (F + G) div F + div G G· curl F - F• curl G O curl F + div G curl F + curl G none of the above

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.1: Vector In R^n

Problem 28E

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Question

below math question

If f is a scalar field and F, G are vector fields, then fF, F· G, and F x G are defined by the following.
(FF)(x, у, 2) 3 f(x, у, z) F(x, у, z)
(F: G)(x, у, 2) %3D F(x, у, 2) G(х, у, z)
(Fx G)(х, у, z) %3D F(x, у, z) x G(x, у, z)
Find an identical expression, assuming that the appropriate partial derivatives exist and are continuous.
curl (F + G)
div F + div G
G• curl F -F• curl G
curl F + div G
curl F + curl G
none of the above

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