The proof of mass vector.
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From: Bob Kolker on 23 Apr 2007 09:42 Sam Wormley wrote: > > Vector Division > http://mathworld.wolfram.com/VectorDivision.html > > Vector division is not defined. Except in the case that vectors have the same direction, which which case the quotient is the quotient of lengths. Bob Kolker
From: Ka-In Yen on 23 Apr 2007 20:22 On Apr 23, 10:25 am, Sam Wormley <sworml...(a)mchsi.com> wrote: > Ka-In Yen wrote: > > > Vector division can help we to calculate the components > > of vector. > > Vector Division > http://mathworld.wolfram.com/VectorDivision.html > > Vector division is not defined. Hamilton had discovered vector division in 1843.
From: Ka-In Yen on 23 Apr 2007 20:25 On Apr 23, 9:41 pm, Bob Kolker <nowh...(a)nowhere.com> wrote: > Ka-In Yen wrote: > > > Vector division can help we to calculate the components > > of vector. For example, we put a brick on a sloping surface. > > The mass of the brick is M, and the contacting area between > > the brick and the sloping surface is A. Then we have > > F=Mg (where g is the acceleration due to gravity.) > > pressure p= F/A = |F|cos(theta)/|A| > > Which is a scalar, not a vector. Dear Bob Kolker, Thank you for your comment. Pressure(p) is a scalar. Force and area are vectors.
From: Bob Kolker on 23 Apr 2007 21:22 Ka-In Yen wrote: > > Hamilton had discovered vector division in 1843. Which product are you using. The cross product (in which case there is no division) or the dot product (in which case there is no division). Bob Kolker >
From: Bob Kolker on 23 Apr 2007 21:25
Ka-In Yen wrote: > > Dear Bob Kolker, > > Thank you for your comment. Pressure(p) is a scalar. > Force and area are vectors. Force can be represented by a vector. That is because forces have both megnitude and direction. Area cannot. Area is a measure. What is the direction of an area? Bob Kolker |