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pluton
science forum beginner

Joined: 16 Feb 2006
Posts: 8

Posted: Mon Jun 05, 2006 7:44 am    Post subject: Re: notation for vectors and points

thank you for the details..

Pluton
quat
science forum Guru Wannabe

Joined: 17 Jan 2006
Posts: 105

Posted: Sat Jun 03, 2006 4:47 pm    Post subject: Re: notation for vectors and points

 Quote: is there a difference of notation between points and vectors in a book of mathematics? What is the rule? Thank you,

In one book I have, which wanted to distinguish between vectors (in the
direction and magnitude sense) and points (in the spatial location sense),
they used an arrow over a lower case letter for vectors and a capital letter
for points. This was a heavily applied geometric book, however. Most math
books don't distinguish between them and instead vectors are defined very
abstractly as elements of a vector space.
wkehowski@cox.net
science forum beginner

Joined: 03 Jun 2006
Posts: 4

Posted: Sat Jun 03, 2006 4:41 pm    Post subject: Re: notation for vectors and points

pluton wrote:
 Quote: Hi all, is there a difference of notation between points and vectors in a book of mathematics? What is the rule? Thank you, Pluton

A vector v is an equivalence class of directed line segments. If O is
the origin and P is the point with the same coordinates as v, then the
directed line segment OP is a canonical representative of the vector v.
The point P can then be regarded as v, but they are not the same object.
pluton
science forum beginner

Joined: 16 Feb 2006
Posts: 8

 Posted: Sat Jun 03, 2006 4:15 pm    Post subject: notation for vectors and points Hi all, is there a difference of notation between points and vectors in a book of mathematics? What is the rule? Thank you, Pluton
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