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The vector field F is shown in the xy-plane and looks the same in all other horizontal planes. (In other words, F is independent z and its z-component is 0.) 1 (a) Is div(F) positive, negative, or zero at P? Explain. div(F) is --Select--- v because the vectors that start near P are --Select--- those that end near P. (h) Determine whetber curICE) - 0 If pot in which direction does curl(E) point at D2

The vector field F is shown in the xy-plane and looks the same in all other horizontal planes. (In other words, F is independent z and its z-component is 0.) 1 (a) Is div(F) positive, negative, or zero at P? Explain. div(F) is --Select--- v because the vectors that start near P are --Select--- those that end near P. (h) Determine whetber curICE) - 0 If pot in which direction does curl(E) point at D2

Algebra and Trigonometry (MindTap Course List)
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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The vector field F is shown in the xy-plane and looks the same in all other horizontal planes. (In other words, F is independent of z and its z-component is 0.) (a) Is div(F) positive, negative, or zero at P? Explain. div(F) is ---Select--- because the vectors that start near P are ---Select--- those that end near P. (b) Determine whether curl(F) = 0. If not, in which direction does curl(F) point at P? curl(F) + 0. At P the curl(F) points in the direction of positive x. curl(F) + 0. At P the curl(F) points in the direction of negative x. curl(F) + 0. At P the curl(F) points in the direction of positive y. curl(F) + 0. At P the curl(F) points in the direction of negative y. curl(F) + 0. At P the curl(F) points in the direction of positive z. curl(F) + 0. At P the curl(F) points in the direction of negative z. curl(F) : = 0
Transcribed Image Text:The vector field F is shown in the xy-plane and looks the same in all other horizontal planes. (In other words, F is independent of z and its z-component is 0.) (a) Is div(F) positive, negative, or zero at P? Explain. div(F) is ---Select--- because the vectors that start near P are ---Select--- those that end near P. (b) Determine whether curl(F) = 0. If not, in which direction does curl(F) point at P? curl(F) + 0. At P the curl(F) points in the direction of positive x. curl(F) + 0. At P the curl(F) points in the direction of negative x. curl(F) + 0. At P the curl(F) points in the direction of positive y. curl(F) + 0. At P the curl(F) points in the direction of negative y. curl(F) + 0. At P the curl(F) points in the direction of positive z. curl(F) + 0. At P the curl(F) points in the direction of negative z. curl(F) : = 0
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