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Sep 30, 2022 at 8:35 vote accept Charl Cillie
Sep 29, 2022 at 15:41 history edited DMGregory CC BY-SA 4.0
Clarifying
Sep 29, 2022 at 15:37 answer added DMGregory timeline score: 2
Sep 29, 2022 at 14:38 history edited Charl Cillie CC BY-SA 4.0
added 1321 characters in body
Sep 29, 2022 at 13:17 comment added DMGregory A position and a normal is not enough to define a local coordinate system in 3D. We still have a degree of freedom which is rotation around the axis of the normal, so you need to fix some other non-parallel vector. It's not clear to me yet which choice would be appropriate for that. Can you edit your question to give us more context about how you're trying to use this local coordinate space, or the end goal you want to achieve with this transformed velocity?
Sep 29, 2022 at 12:38 history asked Charl Cillie CC BY-SA 4.0