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Hi I pretty much can't get past the first chapter in my physics book until I master the vector representation of polar coordinates.

Every explanation I've read thus far has confused me, I keep thinking in Cartesian terms so I think it'd be great to convert a vector equation from cartesian to polar description and then differentiate (with somebodies help, which I need!).

I have a cartesian based vector,

[tex] r(t) = (2t^2)i + (3t - 2)j + (3t^2 - 1)k [/tex]

I don't know how to go about converting it, could anybody give a helping hint?

Edit: Thinking about it, just a two dimensional vector would be easier on everyone!

[tex] r(t) = (2t^2)i + (3t - 2)j [/tex]

Every explanation I've read thus far has confused me, I keep thinking in Cartesian terms so I think it'd be great to convert a vector equation from cartesian to polar description and then differentiate (with somebodies help, which I need!).

I have a cartesian based vector,

[tex] r(t) = (2t^2)i + (3t - 2)j + (3t^2 - 1)k [/tex]

I don't know how to go about converting it, could anybody give a helping hint?

**Is it even possible?**Every book I see polar coordinates mentioned have a [tex] coswt [/tex] etc... already mentioned.Edit: Thinking about it, just a two dimensional vector would be easier on everyone!

[tex] r(t) = (2t^2)i + (3t - 2)j [/tex]

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