4. True/False: curl(divF)) is not a meaningful expression. (Justify your answer.)

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Vectors In Two And Three Dimensions
Section9.FOM: Focus On Modeling: Vectors Fields
Problem 11P
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Please answer question 4 only and show numerical working. Thanks.
1. True/False: V. (V x F) = 0. (Justify your answer by showing it is true or false
for vector fields of the form F = Fi + Gj.)
=
V x G, then F
G. (Justify
2. True/False: If F, G are vector fields and V x F
your answer by using the properties of curl.)
3. True/False: If F is conservative then V F = 0. (Justify your answer.)
.
4. True/False: curl(divF)) is not a meaningful expression. (Justify your answer.)
5. Using Stokes' theorem, find I (VxF) ndo, where F = yi+xj+(y+z) k
and S is the portion of the surface 2r+y+z= 2 above the first octant and n is
the unitary normal vector to the surface, with non-negative z com nt.
Transcribed Image Text:1. True/False: V. (V x F) = 0. (Justify your answer by showing it is true or false for vector fields of the form F = Fi + Gj.) = V x G, then F G. (Justify 2. True/False: If F, G are vector fields and V x F your answer by using the properties of curl.) 3. True/False: If F is conservative then V F = 0. (Justify your answer.) . 4. True/False: curl(divF)) is not a meaningful expression. (Justify your answer.) 5. Using Stokes' theorem, find I (VxF) ndo, where F = yi+xj+(y+z) k and S is the portion of the surface 2r+y+z= 2 above the first octant and n is the unitary normal vector to the surface, with non-negative z com nt.
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