Express the following vector field in spherical coordinates. (The(adsbygoogle = window.adsbygoogle || []).push({});

answer should be in a form that uses the unit vectors of the curvilinear coordi-

nate system and coefficient functions that are written in terms of the curvilinear

coordinates.)

[itex] \underline{F} = -y \underline{i} + x \underline{j} + (x^2 + y^2)\underline{k}[/itex]

OK, so I've obtained the equation:

[itex]\underline{F} = rsin\theta(-sin\phi\mathbf{i} + cos\phi\underline{j} +rsin\theta\underline{k})[/itex] simply by substituting [itex]x = rsin\theta cos\phi[/itex] etc. into the above equations. Now how do I express this in terms of the unit vectors [itex]\mathbf{e}_r,\mathbf{e}\phi, \mathbf{e}_\theta[/itex] ??

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Spherical Polar Coordinates

**Physics Forums | Science Articles, Homework Help, Discussion**