- Let F: R3 → R³ be a vector field F = (G, H, F) and let w = F dxdy + G dydz + H dzdx. Show that dw = (div F)dxdydz.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 60E
Question
- Let F: R3 → R³ be a vector field F = (G, H, F) and let w = F dxdy + G dydz + H dzdx.
Show that dw = (div F)dxdydz.
Transcribed Image Text:- Let F: R3 → R³ be a vector field F = (G, H, F) and let w = F dxdy + G dydz + H dzdx. Show that dw = (div F)dxdydz.
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