Module 1 : A Crash Course in Vectors
Lecture 2 : Coordinate Systems
  Polar Coordinates :
 

In two dimensions one defines the polar coordinate $(\rho,\theta)$ of a point by defining $\rho$ as the radial distance from the origin $O$ and $\theta$ as the angle made by the radial vector with a reference line (usually chosen to coincide with the x-axis of the cartesian system). The radial unit vector $\hat\rho$ and the tangential (or angular) unit vector $\hat\theta$ are taken respectively along the direction of increasing distance $\rho$ and that of increasing angle $\theta$ respectively, as shown in the figure.

 
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