I have a parallelogram in $\mathbb{R}^3$ with the vertices $(0,0,0),(1,1,-1), (1,1,1), (2,2,0)$. How would I find the parameterization of this? Thanks!
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- $\begingroup$ What have you done? $\endgroup$amsmath– amsmath2019-04-19 23:37:58 +00:00Commented Apr 19, 2019 at 23:37
- $\begingroup$ I don't quite understand how parameterization works, so I have nothing so far $\endgroup$hoya2021– hoya20212019-04-19 23:40:53 +00:00Commented Apr 19, 2019 at 23:40
- $\begingroup$ So, I guess you should read first what a parametrization is and look at some examples. $\endgroup$amsmath– amsmath2019-04-19 23:43:14 +00:00Commented Apr 19, 2019 at 23:43
- 1$\begingroup$ @amsmath It seems OP already knows the definition of parametrization and some examples. Actually, it is is not straightforward to parametrize parallelogram. See the example of rectangle above. $\endgroup$ersh– ersh2019-04-20 00:05:05 +00:00Commented Apr 20, 2019 at 0:05
- 1$\begingroup$ @ersh What you refer to is a parametrization of the boundary. I am sure OP wants a parametrization of the whole figure. $\endgroup$amsmath– amsmath2019-04-20 00:14:46 +00:00Commented Apr 20, 2019 at 0:14
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