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Derive the following quantities for the spherical coordinate system: 1 . The r , theta and phi unit vectors as functions of the Cartesian unit

Derive the following quantities for the spherical coordinate system:

1 .

The r

,

theta and phi unit vectors as functions of the Cartesian unit vectors and the spherical coordinates.

2 .

The vector differential operator.

3 .

The divergence of a vector in this coordinate system.

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