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- From: TheAnalyst@Nfo.Org
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- Subject: Re: 3d programming
- Date: Mon, 19 Feb 1996 00:16:42 GMT
- Organization: National Knowledge Network
- Message-ID: <4g8b5i$irm@dfw.nkn.net>
- References: <4f3od9$2jg@zeus.tcp.co.uk> <jderrick-0502961551360001@slip037.csc.cuhk.hk> <3118310E.52F@psu.edu> <4fiuh2$qrj@fulton.cs.unc.edu> <311E38D7.71BC@psu.edu> <4frlln$lp5@dfw.nkn.net> <Pine.OSF.3.91.960214142740.20349A-100000@curtis.aa.washington.e <4g2vue$3s9@mckinley.cit.macalstr.edu>
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- jmorris@math.macalstr.edu (Jesse Morris) wrote:
- >schumaker (schumaker@tigger.jvnc.net) wrote:
- >: >> points do not necessarily make a vector. A vector is a point that *points*
- >: >> somewhere
- >: >But a point has a magnitude and direction. Point x,y,z has a magnitude
- >: >of sqrt(x^2+y^2+z^2) and a direction of ( x i y j z k)/magnitude where
- >: >i,j,k are the unit vectors. Remember when you define a point in space you
- >: >are referencing it to some reference point.
- >: wrong a point is just that a point. the values given a point are completely
- >: arbitraray based on your origin I can aurgue that a point at 0,0,0 is the same
- >: as a point you call 1,2,3 your reference point does not give a point any
- >: magnitude.
- > In math, a vector is any ordered pair, triple, n-tuple. Find any
- >linear algebra book if you don't believe me. I believe that physics
- >often assumes these to be a direction & magnitude of the distance from
- >the origin (0,0,...,0) (Note that vectors in the mathematical sense are
- >NOT by any means limited to two or three dimensional space.) to the point
- >that the vector defines. It then refers to these ordered pairs (0,v) of
- >points as vectors. (This is very like what physics and other applied
- >mathematics does to many other aspects of more generalized math.)
-
- Why do you people force me to dig out my school books? They give me nightmares
- of having to do homework. . .
-
- "Advanced Mathematical Concepts" (My Adv. Pre-Cal Book):
- VECTOR: A quantity, or directed distance, that has both magnitude and direction.
-
- "Physics: Principles and Problems" (My Adv. Physics Book):
- VECTOR: Quantity having both magnitude (size) and direction.
-
- "Webster's Encyclopedia of Dictionaries" (My Home Encyclopedia):
- VECTOR: any quantity requiring direction to be stated as well as magnitude in
- order to define it properly; disease-carrying insect.
- [Since this isn't an entomology group I assume it is the first definition
- that is relevent to this argument :)]
-
- "The Elements and Structure of the Physical Sciences" (Home Reference, again):
- VECTOR: A directed quantity.
-
- Now where the hell do you get "any ordered pair" from the above definitions, or
- should I dig out my 8th grade linear algebra book :( don't ask why I still have
- it ): .
-
- Just dug it out anyway. NOWHERE is there a definition or is "vector" even
- listed.
-
- Just did a little more research. Guess what. . . "Vector" is not considered a
- part of "linear Algebra", it is a part of Physics and Calculus. So unless you
- have an 8th grade education and that is where you stopped, your definition of
- "vector" is "a quantity requiring both magnitude and direction to be defined".
-
-
- --
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- pick a search engine, preferably Lycos
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