Vector Calc Quicksheet (1sheet)

Vector Calc - where i,j,k are unit vectors in the x y z directions It can also be expressed in determinant form The curl in cylindrical polar

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Click to edit Master subtitle style 4/8/10 Gradient, Various Coordinates Compared to the gradient in rectangular coordinates: In cylindrical polar coordinates: and in spherical polar coordinates: Divergence, Various Coordinates Compared to the divergence in rectangular coordinates: In cylindrical polar coordinates: and in spherical polar coordinates: The Curl The curl of a vector function is the vector product of the del operator with a vector function:
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Unformatted text preview: where i,j,k are unit vectors in the x, y, z directions. It can also be expressed in determinant form: The curl in cylindrical polar coordinates , expressed in determinant form: The curl in spherical polar coordinates , expressed in determinant form: Laplacian, Various Coordinates Compared to the LaPlacian in rectangular coordinates: In cylindrical polar coordinates: and in spherical polar coordinates:...
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This note was uploaded on 04/07/2010 for the course MA & ME 206 & 387 taught by Professor N/a during the Spring '10 term at West Point.

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