Timeline for Polar coordinates: Orthonormal basis
Current License: CC BY-SA 4.0
20 events
| when toggle format | what | by | license | comment | |
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| Dec 30, 2023 at 8:24 | vote | accept | S_M | ||
| Dec 29, 2023 at 11:05 | answer | added | gandalf61 | timeline score: 2 | |
| Dec 28, 2023 at 23:02 | comment | added | J.G. | In terms of the Cartesian basis $\widehat{r}=\cos\theta\widehat{i}+\sin\theta\widehat{j},\,\widehat{\theta}=-\sin\theta\widehat{i}+\cos\theta\widehat{j}$ so $\widehat{r},\,\widehat{\theta},\,\widehat{k}$ is right-handed. | |
| Dec 28, 2023 at 22:31 | history | reopened |
gandalf61 Michael Seifert Buzz♦ |
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| Dec 28, 2023 at 13:16 | history | edited | Qmechanic♦ |
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| Dec 28, 2023 at 11:27 | comment | added | gandalf61 | @S_M Although the position vector of an object never has a non-zero $\hat \theta$ component, other vectors associated with the object may have a non-zero $\hat \theta$ component, such as the object's velocity or acceleration or force or torque vectors acting on it. | |
| Dec 28, 2023 at 11:24 | review | Reopen votes | |||
| Dec 28, 2023 at 22:31 | |||||
| Dec 28, 2023 at 11:24 | comment | added | gandalf61 | Voting to reopen - this is a perfectly clear question about vectors expressed in polar co-ordinates. | |
| Dec 27, 2023 at 21:44 | history | closed |
Tobias Fünke Hyperon Miyase |
Needs details or clarity | |
| Dec 27, 2023 at 19:46 | comment | added | Gyro Gearloose | Besides, this is more about maths than on physics. This is a friendly site, with mostly friendly users. I didn't do the downvote, and there is only one, uncommented as usual to the cowards. | |
| Dec 27, 2023 at 18:00 | comment | added | Gyro Gearloose | Look at en.wikipedia.org/wiki/Polar_coordinate_system . Unfortunately, there, $\theta$ is only one-dimensional, so not really a vector. Look also at en.wikipedia.org/wiki/Spherical_coordinate_system and you will get an idea how this can be extended to higher dimensions. | |
| Dec 27, 2023 at 17:52 | comment | added | S_M | Then how can you represent any vector in the cartesian plane as a linear combination of \vec{\theta} and \vec{\r}? | |
| Dec 27, 2023 at 17:43 | comment | added | Gyro Gearloose | Methinks, you think because polar coordinates use two vectors, that only because of this, the vectors involved must be orthogonal. But $\theta$ is an angle, and not in the same vector space as $\vec r$. | |
| Dec 27, 2023 at 17:31 | comment | added | S_M | One of the two orthonormal basis vectors | |
| Dec 27, 2023 at 17:25 | answer | added | naturallyInconsistent | timeline score: 2 | |
| Dec 27, 2023 at 17:23 | comment | added | Gyro Gearloose | What is your $\hat{\theta}$? An by the way, why don't you use $\vec{\theta}$ and $\vec{r}$ to mark it as a vector?? | |
| Dec 27, 2023 at 17:11 | review | Close votes | |||
| Dec 27, 2023 at 21:44 | |||||
| Dec 27, 2023 at 17:05 | history | edited | S_M | CC BY-SA 4.0 |
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| Dec 27, 2023 at 16:54 | history | edited | Kyle Kanos | CC BY-SA 4.0 |
added 56 characters in body
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| Dec 27, 2023 at 16:47 | history | asked | S_M | CC BY-SA 4.0 |