Exercise 2 - Coordinates, Vector Algebra, Derivatives Distance in spherical coordinates

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Exercise 2 - Coordinates, Vector Algebra,
Derivatives
e_01_1_012
Distance in spherical coordinates
Find the distance between
and
(spherical coordinates).
e_01_1_018
Distance element
New coordinates
are introduced which are related to the ordinary polar coordinates
,
. Find the distance element.
as follows:
e_01_1_027
Spherical coordinates
Find the relation between the unit vectors of 3D Cartesian coordinates and unit vectors of spherical coordinates.
e_01_1_028
Cylindrical and spherical coordinates
Decompose unit vectors of cylindrical coordinates using unit vectors of spherical coordinates.
e_01_2_005
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29/10/2007 18:50