Module 1 : A Crash Course in Vectors
Lecture 2 : Coordinate Systems
  Exercise 4
  The line element in the system is given by
 
\begin{displaymath}\vec{dl} = \hat \rho d\rho + \rho d\theta\hat\theta + d\hat z\end{displaymath}
  and the volume element is
 
\begin{displaymath}dV = \rho d\theta d\rho dz\end{displaymath}
  The Jacobian of transformation from cartesian to cylindrical is $\rho$as in the polar coordinates since $z$coordinate remains the same.
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