Consider the unit vectors (hat{mathbf{x}}, hat{mathbf{y}}, hat{mathbf{r}}), and (hat{boldsymbol{theta}}) in a plane. (a) Find (hat{mathbf{r}}) and (hat{boldsymbol{theta}})

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Consider the unit vectors \(\hat{\mathbf{x}}, \hat{\mathbf{y}}, \hat{\mathbf{r}}\), and \(\hat{\boldsymbol{\theta}}\) in a plane.

(a) Find \(\hat{\mathbf{r}}\) and \(\hat{\boldsymbol{\theta}}\) in terms of any or all of \(\hat{\mathbf{x}}, \hat{\mathbf{y}}, x\), and \(y\).

(b) Find \(\hat{\mathbf{x}}\) and \(\hat{\mathbf{y}}\) in terms of any or all of \(\hat{\mathbf{r}}, \hat{\boldsymbol{\theta}}, r\), and \(\theta\).

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Modern Classical Mechanics

ISBN: 9781108834971

1st Edition

Authors: T. M. Helliwell, V. V. Sahakian

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