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- From: sbh@cs.waikato.ac.nz (Stephen B Hodge)
- Newsgroups: comp.lang.pascal.borland,comp.lang.pascal.mac,comp.lang.pascal.ansi-iso,comp.lang.pascal.misc,comp.sys.amiga.programmer,comp.graphics.algorithms,comp.os.ms-windows.programmer.graphics,comp.sys.amiga.graphics
- Subject: Re: 3d programming
- Followup-To: comp.lang.pascal.borland,comp.lang.pascal.mac,comp.lang.pascal.ansi-iso,comp.lang.pascal.misc,comp.sys.amiga.programmer,comp.graphics.algorithms,comp.os.ms-windows.programmer.graphics,comp.sys.amiga.graphics
- Date: 21 Feb 1996 03:14:38 GMT
- Organization: The University of Waikato
- Sender: sbh@waikato.ac.nz
- Message-ID: <4ge2mu$it4@thebes.waikato.ac.nz>
- 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> <311F9C84.3B26@structure.chimie.usherb.ca> <312028C1.C1F@nmsu.edu> <DMsIw4.HvL@tigger.jvnc.net> <4fv3ac$1e7k@info4.rus.uni-stuttgart.de>
- Reply-To: sbh@waikato.ac.nz
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-
- Christian Froeschlin (froesccn@cip.mathematik.uni-stuttgart.de) wrote:
- : As a math student I have to protest ;-) A physics book is probably not the
- : right place to look up such concepts. A scalar IS a vector (in a one-
- : dimensional vector space). It's just a matter of view-point. The vector
- : definition with direction you're refering to is just a useful special
- : case. Q.e.d.
-
- Finally someone talking some sense. I don't know why so many people seem to
- want to use a physics book to find a mathematics definition. All this talk
- about directions and magnitudes is just a physics simplification of a more
- general mathematical definition. The fact is a vector is a member of a vector
- space. All sorts of things qualify as vector spaces (I'm not giving examples
- unless asked - I can't remeber any good ones off hand).
-
- This started when someone said a vector is not a point. A vector is usually
- given as 3 values that represent distances along the three axis. A point is 3
- values that represent distances along the three axis from the origin. Points
- can usually treated as vectors and vice versa, but they are not the same. When
- talking about vectors in 3d space any vector can be interpreted as a point
- (properly known as a position vector) by positioning the vector at the origin
- (as has already been pointed out).
-
- --
-
- Steve Hodge
- sbh@cs.waikato.ac.nz
- Computer Science Dept, University of Waikato,
- Hamilton, New Zealand
-
-