Recent content by CatSails

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    Vector and Basis Transformations in Schutz's Intro to GR: Am I Doing It Right?

    You are right, that should have been 6, not 3. Thanks for the help!
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    Vector and Basis Transformations in Schutz's Intro to GR: Am I Doing It Right?

    Okay, to think out loud for a moment: I do think that the components of the vector are just those that I displayed above. The component transformation should not depend on the basis transformation, I think. It's really just that the answer I got was so ugly that I thought I must be wrong.
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    Vector and Basis Transformations in Schutz's Intro to GR: Am I Doing It Right?

    I guess I should put in my ugly vector: The answer I had got for the components of V is r( r(\cos^3\theta + \sin^3\theta) + 3\sin\theta\cos\theta, \frac{3(\cos^2\theta-\sin^2\theta)}{r} +\sin^2\theta\cos\theta - \cos^2\theta\sin\theta) Thanks for the help, also!
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    Vector and Basis Transformations in Schutz's Intro to GR: Am I Doing It Right?

    You are right, I did leave out sin theta. That was happily just a typo/transcription error, though. I think I do know what \hat{r}, \hat{theta} are. They're the unit basis vectors in the r, theta coordinate system, corresponding to the radial direction and the angular direction, they're...
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    Vector and Basis Transformations in Schutz's Intro to GR: Am I Doing It Right?

    Hi, I'm working through Schutz's intro to GR on my own, and I'm trying to do problems as I go to make sure it sinks in. I've encountered a bump in chapter 5, though. I don't think this is a tough problem at all, I think it's just throwing me off because x and y are coordinates as well as...