How can I draw a perpendicular line at the middle of another given line in 3D ?

Question

Abdulbagi Mohammed 2022-3-8

0
链接

此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1666889-how-can-i-draw-a-perpendicular-line-at-the-middle-of-another-given-line-in-3d

回答： Benjamin Thompson 2022-3-8

I have three points on a line (X1,Y1,Z1) , (X2,Y2.Z2) and the middle point (Xm,Ym,Zm), I want to draw a line perpendicular to the given line at the middle point

0 个评论
显示 -2更早的评论隐藏 -2更早的评论

请先登录，再进行评论。

请先登录，再回答此问题。

Answer 1

Benjamin Thompson 2022-3-8

0
链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1666889-how-can-i-draw-a-perpendicular-line-at-the-middle-of-another-given-line-in-3d#answer_913219

There is actually a plane that is penpendicular to a line in 3D space. You can follow Gram-Schmidt to identify two perpendicular vectors that define the plane. Any linear combination of those two vectors is a line perpendicular to your line.

https://en.wikipedia.org/wiki/Gram%E2%80%93Schmidt_process#:~:text=In%20mathematics%2C%20particularly%20linear%20algebra,with%20the%20standard%20inner%20product.