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Q-1-Express-div-A-A-in-orthogonal-coordinates-Q-2-Express-2-in-orthogonal-curvilinear-coordinates-Q-3-Express-a-Aand-b-2-in-spherical-coordinates-




Question Number 6641 by WAI LIN last updated on 07/Jul/16
Q(1) Express div A = ▽ . A in orthogonal coordinates.  Q(2) Express ▽^2  φ in orthogonal curvilinear coordinates.  Q(3) Express (a) ▽ × Aand (b) ▽^2 φ in spherical coordinates.
$${Q}\left(\mathrm{1}\right)\:{Express}\:{div}\:{A}\:=\:\bigtriangledown\:.\:{A}\:{in}\:{orthogonal}\:{coordinates}. \\ $$$${Q}\left(\mathrm{2}\right)\:{Express}\:\bigtriangledown^{\mathrm{2}} \:\phi\:{in}\:{orthogonal}\:{curvilinear}\:{coordinates}. \\ $$$${Q}\left(\mathrm{3}\right)\:{Express}\:\left({a}\right)\:\bigtriangledown\:×\:{Aand}\:\left({b}\right)\:\bigtriangledown^{\mathrm{2}} \phi\:{in}\:{spherical}\:{coordinates}. \\ $$

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