Consider the vector field F (x, y, z) = (z, y, zx) And also consider the surface S of the tetrahedron enclosed by the coordinate planes and the plane + . You may assume this surface has upward orientation. Calculate the flux of F through S. + ž = 1
Consider the vector field F (x, y, z) = (z, y, zx) And also consider the surface S of the tetrahedron enclosed by the coordinate planes and the plane + . You may assume this surface has upward orientation. Calculate the flux of F through S. + ž = 1
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.1: Length And Dot Product In R^n
Problem 17E: Consider the vector v=(1,3,0,4). Find u such that a u has the same direction as v and one-half of...
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Please give a clear and detailed solution. If any theorms are used please label it.
DO NOT used the formula I provided. Please solve in another way.
![F.dS
ag
dA
=
- !! ( -p ²² - Q 245 + R) ²
ax
ay
D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7024c4db-e4c4-44c2-8fab-3045baf15ef1%2Fdb2ec718-a55a-4e03-ba06-2a0b5339d4cc%2Fwgj5ppq_processed.png&w=3840&q=75)
Transcribed Image Text:F.dS
ag
dA
=
- !! ( -p ²² - Q 245 + R) ²
ax
ay
D
![Consider the vector field F (x, y, z)
=
(z, y, zx)
And also consider the surface S of the tetrahedron enclosed by the coordinate planes and the plane +
. You may assume this surface has upward orientation.
Calculate the flux of F through S.
+ ž
=
1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7024c4db-e4c4-44c2-8fab-3045baf15ef1%2Fdb2ec718-a55a-4e03-ba06-2a0b5339d4cc%2F6jr6lzi_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the vector field F (x, y, z)
=
(z, y, zx)
And also consider the surface S of the tetrahedron enclosed by the coordinate planes and the plane +
. You may assume this surface has upward orientation.
Calculate the flux of F through S.
+ ž
=
1
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