Rectangular, Cylindrical, and Spherical Coordinates

 

 

In a Nut Shell:  Three common coordinate systems used in vector calculus include:

Rectangular    (x, y, z) coordinates,   Cylindrical ( r ,  θ,   z ) coordinates, and

Spherical  ( ρ, θ, φ ) coordinates.  You should be able to use each of these coordinate

systems and also be able to transform them from one to another.

 

 

 

 

 

Rectangular Coordinates  of a point, P,  in space:    ( x,    y,    z )     

                     

 

 

 

 

 

Cylindrical Coordinates of a point in space:   (  r ,  θ,   z  )

 

where            θ   =   angle between the  x-axis and the radius, r,  in the x-y plane

                      

 

 

 

Click here to continue with coordinates.

 



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