Let S be the flat, shaded surface oriented as shown by the normal vector ñ in the diagram above. Choose all of the following vector fields F for which the flux of the field through S is positive. Please note that there may be more than one correct answer. F(x, y, 2) O F(2, y, z) = -27 + 33 – k = Z F(2, y, 2) = i – z3 + æk Y,. %3D F(2, y, 2) = y3 F(x, y, 2) F(x, y, 2) = x

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.2: Inner Product Spaces
Problem 101E: Consider the vectors u=(6,2,4) and v=(1,2,0) from Example 10. Without using Theorem 5.9, show that...
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Let S be the flat, shaded surface oriented as shown by the normal vector n in the diagram above. Choose all of the following vector
fields F for which the flux of the field through S is positive. Please note that there may be more than one correct answer.
O F(x, y, z)
= Z
O F(2, y, z)
-2i + 33 - k
O F(x, y, 2) = 7 - z3 + xk
F(2, y, 2) = y3
%3D
F(x, y, z)
xi
O F(x, y, 2) = x}
א
Transcribed Image Text:Let S be the flat, shaded surface oriented as shown by the normal vector n in the diagram above. Choose all of the following vector fields F for which the flux of the field through S is positive. Please note that there may be more than one correct answer. O F(x, y, z) = Z O F(2, y, z) -2i + 33 - k O F(x, y, 2) = 7 - z3 + xk F(2, y, 2) = y3 %3D F(x, y, z) xi O F(x, y, 2) = x} א
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