Stokes' theorem states that [[ (V x F) - ds = f F. dr. Verify Stokes' theorem by calculating both sides of the equation for the vector field F = z²i+y²zj+zzk and the unit square given by 0≤x≤ 1, y = 0 and 0 ≤ z ≤ 1, i.e. dS= dzdzj.
Stokes' theorem states that [[ (V x F) - ds = f F. dr. Verify Stokes' theorem by calculating both sides of the equation for the vector field F = z²i+y²zj+zzk and the unit square given by 0≤x≤ 1, y = 0 and 0 ≤ z ≤ 1, i.e. dS= dzdzj.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Stokes' theorem states that
[[ (V × F) - ds = f F - dr.
Verify Stokes' theorem by calculating both sides of the equation for the vector field
F = r²i+y²zj+xzk
and the unit square given by
0≤x≤ 1, y = 0 and 0≤ ≤ 1, i.e. ds = dzdzj.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F03ff2dc9-8e4f-4b4d-86ce-92f77e5400ec%2Faaa3ebbf-a3c8-4b86-ba79-5ae315fe7eb8%2Fu0fkrxp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Stokes' theorem states that
[[ (V × F) - ds = f F - dr.
Verify Stokes' theorem by calculating both sides of the equation for the vector field
F = r²i+y²zj+xzk
and the unit square given by
0≤x≤ 1, y = 0 and 0≤ ≤ 1, i.e. ds = dzdzj.
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