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Homework Help: Differential Geometry, easy question, weird hint making me doubt myself

  1. Nov 11, 2011 #1
    1. The problem statement, all variables and given/known data


    2. Relevant equations

    From my notes: [tex](\psi_{*}v)_{k}(x)=\sum_{i=1}^{n}v_{i}(x)\frac{{{{{\partial}}}}{\psi_{k}(x)}}{{x_{i}}}[/tex]

    3. The attempt at a solution

    Okay so i) is fine (ignoring the typo in the question) but I'm a bit confused about ii)

    I don't see any need to bore people with the details but I simply computed [itex](\psi_{*}v)(x)[/itex] and then did the same for [itex]w[/itex] from the definition and got exactly what I wanted. My question is, is there something I've missed i.e. is there a good reason for that hint to be there? My problem is that if it's as easy as it looks, then I don't see why he would feel the need to give us a hint and then I don't see how using the hint would help get me the wanted answer.

    Bear in mind this is assessed to vagueness is wanted.
    Last edited: Nov 11, 2011
  2. jcsd
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