Vector Sketch (Curvilinear Coordinates)

• (4pts) Sketch each of the vector fields below.
  1. \(\boldsymbol{\vec K}=s\,\boldsymbol{\hat s}\)
  2. \(\boldsymbol{\vec L}=\frac1s\boldsymbol{\hat\phi}\)
  3. \(\boldsymbol{\vec M}=\sin\phi\,\boldsymbol{\hat s}\)
  4. \(\boldsymbol{\vec N}=\sin(2\pi s)\,\boldsymbol{\hat\phi}\)