Vector projection on a Plane
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I have 2 points
A = [1,2,3]
B = [4,5,6]
a vector is generated AB = B - A
Also, i have a plane ax+by+cz = d
How can i get points of projection of vector AB onto the Plane?
回答（2 个）
Refer here: http://www.nabla.hr/CG-LinesPlanesIn3DB5.htm
Edit @Rik (2025-06-03): apparently the website has changed to something dodgy. Luckily, there is a capture to the Wayback Machine for this page around the time of this post: http://web.archive.org/web/20200528103000/http://www.nabla.hr/CG-LinesPlanesIn3DB5.htm
4 个评论
keshav gupta
2020-6-10
KSSV
2020-6-10
A, B are 2D points....we need 3D points right?
keshav gupta
2020-6-10
Walter Roberson
2025-5-11
I am not at all sure, but possibly the replacement document is https://www.scribd.com/document/77209019/Chapter-17-I-Lines-Planes-in-3D-ENRICH -- which requires an account to download.
Here is the idea:
is your normal vector of a plane (ax + by + cz = d). 
. normalize it so 
- create new vector
such that: 
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2020-6-7
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