Answer: Rotation fieldsFind the net outward flux of the

Chapter 14, Problem 15E

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QUESTION:

Rotation fields

Find the net outward flux of the field \(\mathbf{F}=\langle b z-c y, c x-a z, a y-b x\rangle\) across any smooth closed surface in \(\mathbf{R}^{3}\). where a. b. and c are constants.

Text Transcription:

F = langle bz - cy, cx - az, ay - bx rangle

R^3

Questions & Answers

QUESTION:

Rotation fields

Find the net outward flux of the field \(\mathbf{F}=\langle b z-c y, c x-a z, a y-b x\rangle\) across any smooth closed surface in \(\mathbf{R}^{3}\). where a. b. and c are constants.

Text Transcription:

F = langle bz - cy, cx - az, ay - bx rangle

R^3

ANSWER:

Solution 15EGiven F = F = () + () +() = 0F = 0,

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