Without using vector identities: (a) Use Stokes Theorem dS ( A) = ds
Question:
Without using vector identities:
(a) Use Stokes’ Theorem ∫ dS · (∇ ×A) = ∮ ds · A with A = c × F where c is an arbitrary constant vector to establish the equality on the left side of
(b) Confirm the equality on the right side of this expression.
(c) Show that ∮c r × ds = 2 ∫s dS.
Transcribed Image Text:
f ds x F = [ dS (ñ, VF, - ñ(V - F)] = [ds (ñ ; VF₁ dS (Î x V) x F.
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a Let p c F Then because c is a constant vector This shows that cF ...View the full answer
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