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Math Help - Vector field in polar coordinates

  1. #1
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    Vector field in polar coordinates

    I'm given {\bold F}(r,{\theta}) = f(r,{\theta}){\bold u}_r + g(r,{\theta}){\bold u}_{\theta} where {\bold u}_{\theta} and  {\bold u}_r are unit vectors.

    {\bold u}_r = \cos\theta{\hat i}+ \sin\theta{\hat j}

    {\bold u}_{\theta} = -\sin\theta{\hat i}+ \cos\theta{\hat j}

    How do I rewrite {\bold u}_r in vector form?
    Last edited by over9000; January 24th 2014 at 07:57 PM. Reason: more bad tex
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  2. #2
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    Re: Vector field in polar coordinates

    okay, I just realized this is much easier than I thought. {\v u}_r = < \cos\theta , \sin\theta >
    Last edited by over9000; January 24th 2014 at 08:00 PM. Reason: bad tex
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