Solved: Rotation fieldsFind the net outward flux of the

Chapter 14, Problem 14E

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QUESTION:

Rotation fields

Find the net outward flux of the field \(\mathbf{F}=\langle z-y, x-z, y-x\rangle\) across the boundary of the cube\(\{(x, y, z):|x| \leq 1,|y| \leq 1,|z| \leq 1\}\).

Text Transcription:

F = langle z - y, x - z, y - x rangle

{(x, y, z): |x| leq 1, |y| leq 1, |z| leq 1 }

Questions & Answers

QUESTION:

Rotation fields

Find the net outward flux of the field \(\mathbf{F}=\langle z-y, x-z, y-x\rangle\) across the boundary of the cube\(\{(x, y, z):|x| \leq 1,|y| \leq 1,|z| \leq 1\}\).

Text Transcription:

F = langle z - y, x - z, y - x rangle

{(x, y, z): |x| leq 1, |y| leq 1, |z| leq 1 }

ANSWER:

Solution 14E

Given F = <>, = {();

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