Question: 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,

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.

2-volume = (A, B) = ab Aa Bb=AB - A B =

det [A A B A2 B2 (1.25)

2-volume = (A, B) = ab Aa Bb=AB - A B = det [A A B 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 full answer

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