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12.7 Cylindrical and Spherical Coordinates In 2-dimensions, we learnt polar coordinates which gave an easier
 

Summary: 12.7 Cylindrical and Spherical Coordinates
In 2-dimensions, we learnt polar coordinates which gave an easier
description of some curves.
Here, we introduce two coordinate systems in 3-dimensions,
known as cylindrical coordinate system and spherical coordinate
system which give easier description of some surfaces.
In 2-space, every point can be represented by two ways: one is in
rectangular coordinate system and other is in polar coordinate system. In
3-space each point can be represented by three ways:
(i) rectangular coordinates
(ii) cylindrical coordinates and
(iii) spherical coordinates.
1
What are cylindrical coordinates?
2
A point P in 3-space represented by
coordinates( Restriction:
0r and
0 2 <
), ,r z , where r,

  

Source: Ansari, Qamrul Hasan - Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals

 

Collections: Mathematics