right one?

Current License: CC BY-SA 3.0

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Aug 13, 2011 at 22:47	comment	added	aaaaaaaaaaaa		@bobobobo The word "tværs" means approximately "not aligned", anything that is, by a decent margin, not pointing the same way as something else is "på tværs", it's also a common word for being obstructive. Apart from it's use in the word "tværvektor" it is not a formal mathematical term.
Aug 13, 2011 at 19:54	comment	added	bobobobo		What is the literal meaning of tværvector? I'm curious to know.
Aug 13, 2011 at 15:16	comment	added	aaaaaaaaaaaa		The problem is that both of the terms normal and perpendicular usually refers to any perpendicular vector, but in this case it is important that a specific normal is selected, so it would be nice to have an unambiguous name. Good job @Lars Viklund for finding a naming instance, now we'll just have to figure how to use it without talking about criminals.
Aug 13, 2011 at 14:53	comment	added	bobobobo		I haven't heard the term tværvector before, but I believe you are talking about the normal. The normal is perpendicular to the line.
Aug 13, 2011 at 14:37	comment	added	mac		@eBusiness - Thank you for having taken the time to explain the method you suggested. Perfect answer. Accepted.
Aug 13, 2011 at 14:36	vote	accept	mac
Aug 13, 2011 at 14:36	comment	added	mac		@Lars - Thank you for this comment, that was very useful. Gratitude expressed in form of +1 to your answer! ;)
Aug 13, 2011 at 14:18	comment	added	Lars Viklund		In his book Real-Time Collision Detection, Christer Ericson uses notation of the vector name raised to `_\|_`, which is pronounced "u-perp" for the tværvector to u. As for dot product versus (scalar projection)[en.wikipedia.org/wiki/Dot_product#Scalar_projection), I assumed that it was known that the common way to do such a projection was via the dot product. It's most excellent that you covered computing the perpendicular vector, as I forgot to mention the operation.
Aug 13, 2011 at 14:14	history	edited	aaaaaaaaaaaa	CC BY-SA 3.0	added 1049 characters in body
Aug 13, 2011 at 13:35	history	edited	aaaaaaaaaaaa	CC BY-SA 3.0	Introduced both a new word and a new letter in the English language.
Aug 13, 2011 at 13:13	comment	added	aaaaaaaaaaaa		It's the terminology I learned in school, I do have a different terminological version, but it seems that the English language lacks a word. Screw that, I'll just add the Danish word to the English language. As for the two solutions being virtually the same, Lars Viklund uses a projection where I use a dot product.
Aug 12, 2011 at 23:12	history	edited	aaaaaaaaaaaa	CC BY-SA 3.0	added 183 characters in body
Aug 12, 2011 at 22:55	comment	added	mac		Thank you eBusiness, I will look into this more accurately tomorrow, but it seems exactly what I was looking for. :) It's the first time I hear about determinants, and I had a quick look at the wikipedia entry for that, however it seems quite broad in scope. If you happen to have some link that you think would help me understand better the theory behind the solution, I would be grateful if you would share them. :)
Aug 12, 2011 at 21:45	history	answered	aaaaaaaaaaaa	CC BY-SA 3.0