Use Eqs. (1.25) and (1.26) to derive the usual formulas dA = dxdy and dV = dxdydz

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Use Eqs. (1.25) and (1.26) to derive the usual formulas dA = dxdy and dV = dxdydz for the 2-dimensional and 3-dimensional integration elements, respectively, in righthanded Cartesian coordinates.

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Modern Classical Physics Optics Fluids Plasmas Elasticity Relativity And Statistical Physics

ISBN: 9780691159027

1st Edition

Authors: Kip S. Thorne, Roger D. Blandford

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Question Posted: Apr 19, 2023 11:52 PM

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Use Eqs. (1.25) and (1.26) to derive the usual formulas dA = dxdy and dV = dxdydz

Question:

2-volume = € (A, B) = ab Aa Bb=A₁B₂ - A₂ B₁ = det [A₁ A₁ B₁ A2 B2 (1.25)

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To derive the formulas for the 2dimensional and 3dimensional integration elements in Cartesian coordinates we can use Eqs 125 and 126 as follows Eq 12...View the full answer

Modern Classical Physics Optics Fluids Plasmas Elasticity Relativity And Statistical Physics

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