Suppose there exists a unit cube, S centered at p(0,0,0) which encloses a uniform field E. Which surfaces on the cube will have O divergence surface integral values? E = 2 the surface having the negative y-hat direction as its normal vector. the surface having the negative x-hat direction as its normal vector. the surface having the positive y-hat direction as its normal vector. the surface having the negative z-hat direction as its normal vector. the surface having the positive z-hat direction as its normal vector. the surface having the positive x-hat direction as its normal vector.

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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Suppose there exists a unit cube, S centered at p(0,0,0) which encloses a uniform field E. Which surfaces on
the cube will have O divergence surface integral values?
E = 2
the surface having the negative y-hat direction as its normal vector.
the surface having the negative x-hat direction as its normal vector.
the surface having the positive y-hat direction as its normal vector.
the surface having the negative z-hat direction as its normal vector.
the surface having the positive z-hat direction as its normal vector.
the surface having the positive x-hat direction as its normal vector.
Transcribed Image Text:Suppose there exists a unit cube, S centered at p(0,0,0) which encloses a uniform field E. Which surfaces on the cube will have O divergence surface integral values? E = 2 the surface having the negative y-hat direction as its normal vector. the surface having the negative x-hat direction as its normal vector. the surface having the positive y-hat direction as its normal vector. the surface having the negative z-hat direction as its normal vector. the surface having the positive z-hat direction as its normal vector. the surface having the positive x-hat direction as its normal vector.
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