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Robotics lab (talk | contribs) This is my third and last attempt at this for today, before reverting it please see the discussion on my talk page and your talk page |
Robotics lab (talk | contribs) Cooperatively followed a good suggesting |
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=== Vector ===
Hamilton's second book, Elements of Quaternions begins with the following line.
A right line AB, considered as having not only length,
but also direction, is said to be a vector. Its initial point A
is said to be its origin; and its final point B is said to be its
term. A vector AB is conceived to be (or construct) the
difference of its two extreme points; or, more fully, to be the
result of the subtraction of its own origin from its own term;
and in conformilty with this concetion, it is also denoted by
the symbol B - A...<ref>http://books.google.com/books?hl=en&id=fIRAAAAAIAAJ&dq=vector+subtraction&printsec=frontcover&source=web&ots=DCcK_V6fMH&sig=3I_BdEfdrv8JL81cPIJe9_52fqY&sa=X&oi=book_result&resnum=2&ct=result#PPA1,M1 Hamilton 1898 page one, introduces a vector.</ref>
The vector of a quaternion written '''V'''q was a well defined [[Category (mathematics)|mathematical entity]] in the [[Classical Hamiltonian Quaternions|classical quaternion notation]] system.
The square of every vector was equal to a negative scalar.<ref>[http://books.google.com/books?id=TCwPAAAAIAAJ&printsec=frontcover&dq=square+vector+scalar#PRA1-PA81,M1 Hamilton Lectures on Quaternions Lecture 3 Article 85 pg 81 1853]</ref> of which the positive opposite expresses the square of the length of the vector.
Hence it can be represented in a trinomial form. This pure vector then consists of only three components each of which is another vector. A vector is a three dimensional entity.<ref>[http://books.google.com/books?id=CGZLAAAAMAAJ&pg=PA146&dq=tait+quaternion#PPA5,M1 Tait Elementary Treaties on quaternions page 4]</ref>
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