The proof of mass vector.
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From: Sam Wormley on 26 Dec 2006 19:48 Ka-In Yen wrote: > Sam Wormley wrote: >> yen, ka-in wrote: >>> Randy Poe wrote: >>>> yen, ka-in wrote: >>>>> In three dimensional vector algebra, area HAS TO be a vector, >>>> Writing it in caps doesn't make it so. >>>> >>>> Why does area have to be a vector? >>>> >>>> What makes you think scalars can't exist in 3-space? >>> Dear Randy, >>> >>> Thank you for your question. In 3D vector algebra, there are >>> four basic operations: addition, dot product, cross product, and >>> scalar multiplication. To get the area of the parallelogram generated >>> from vectors A and B, cross product has to be used: area=AXB; >>> so the area HAS TO be a vector. >>> >> Area is not a vector quantity. >> >> Inner Product(Dot Product) >> http://www.ies.co.jp/math/java/vector/naiseki_e/naiseki_e.html > > Dear Sam Wormley, > > Thank for your information. A strong pitching, but BALL. :( > The target is the A, not A' . So please aim to the A, and pitch > again. > Remember - three strikes and yer out!
From: Eric Gisse on 26 Dec 2006 20:04 Ka-In Yen wrote: > Pmb wrote: > > "Phineas T Puddleduck" <phineaspuddleduck(a)googlemail.com> wrote in message > > news:458fd74a$0$15523$88260bb3(a)free.teranews.com... > > > On 2006-12-25 04:33:44 +0000, "yen, ka-in" <yenkain(a)yahoo.com.tw> said: > > > > > >> Thank you for your question. In 3D vector algebra, there are > > >> four basic operations: addition, dot product, cross product, and > > >> scalar multiplication. To get the area of the parallelogram generated > > >> from vectors A and B, cross product has to be used: area=AXB; > > >> so the area HAS TO be a vector. > > > > > > And the area is only defined for flat space. > > > > I don't follow. Who was it that claimed that area was a vector???? That's > > total nonsense. Taking the cross product of two vectors does yield another > > vector. The *magnitude* of the vector being equal to the parallelagram > > defined by the two vectors. > > Dear Pete, > > Thank for your comment. In 3D vector algebra, there are four > basic operations: addition, dot product, cross product, and > scalar multiplication. A parallelepiped is constructed from three > vectors: A, B, and C. The volume of the parallelepiped is > > volume=A dot (B cross C). Notice that volume is a scalar quantity. > > >From the above equation, we can conclude that area HAS TO > be a vector.
From: Ka-In Yen on 27 Dec 2006 19:02 Sam Wormley wrote: > Ka-In Yen wrote: > > Sam Wormley wrote: > >> yen, ka-in wrote: > >>> Randy Poe wrote: > >>>> yen, ka-in wrote: > >>>>> In three dimensional vector algebra, area HAS TO be a vector, > >>>> Writing it in caps doesn't make it so. > >>>> > >>>> Why does area have to be a vector? > >>>> > >>>> What makes you think scalars can't exist in 3-space? > >>> Dear Randy, > >>> > >>> Thank you for your question. In 3D vector algebra, there are > >>> four basic operations: addition, dot product, cross product, and > >>> scalar multiplication. To get the area of the parallelogram generated > >>> from vectors A and B, cross product has to be used: area=AXB; > >>> so the area HAS TO be a vector. > >>> > >> Area is not a vector quantity. > >> > >> Inner Product(Dot Product) > >> http://www.ies.co.jp/math/java/vector/naiseki_e/naiseki_e.html > > > > Dear Sam Wormley, > > > > Thank for your information. A strong pitching, but BALL. :( > > The target is the A, not A' . So please aim to the A, and pitch > > again. > > > > Remember - three strikes and yer out! Three strikes and Einstein out! Mathematically I prove that Einstein was ill-trained in 3D vector algebra; STR was based on incomplete physical mathematics.
From: Phineas T Puddleduck on 27 Dec 2006 19:20 On 2006-12-28 00:02:32 +0000, "Ka-In Yen" <yenkain(a)yahoo.com.tw> said: >>> Dear Sam Wormley, >>> >>> Thank for your information. A strong pitching, but BALL. :( >>> The target is the A, not A' . So please aim to the A, and pitch >>> again. >>> >> >> Remember - three strikes and yer out! > > Three strikes and Einstein out! > Mathematically I prove that Einstein was ill-trained in 3D > vector algebra; STR was based on incomplete physical > mathematics. Mathematically you prove nothing In an arbitrarily curved manifold, what does the area vector represent? I.e for a surface that is corrugated like cardboard, what direction does the area vector of an irregularly drawn shape on the surface take and what does it represent? -- For me, it is far better to grasp the Universe as it really is than to persist in delusion, however satisfying and reassuring. Carl Sagan -- Posted via a free Usenet account from http://www.teranews.com
From: yen, ka-in on 27 Dec 2006 19:42
Eric Gisse wrote: > Ka-In Yen wrote: > > Pmb wrote: > > > "Phineas T Puddleduck" <phineaspuddleduck(a)googlemail.com> wrote in message > > > news:458fd74a$0$15523$88260bb3(a)free.teranews.com... > > > > On 2006-12-25 04:33:44 +0000, "yen, ka-in" <yenkain(a)yahoo.com.tw> said: > > > > > > > >> Thank you for your question. In 3D vector algebra, there are > > > >> four basic operations: addition, dot product, cross product, and > > > >> scalar multiplication. To get the area of the parallelogram generated > > > >> from vectors A and B, cross product has to be used: area=AXB; > > > >> so the area HAS TO be a vector. > > > > > > > > And the area is only defined for flat space. > > > > > > I don't follow. Who was it that claimed that area was a vector???? That's > > > total nonsense. Taking the cross product of two vectors does yield another > > > vector. The *magnitude* of the vector being equal to the parallelagram > > > defined by the two vectors. > > > > Dear Pete, > > > > Thank for your comment. In 3D vector algebra, there are four > > basic operations: addition, dot product, cross product, and > > scalar multiplication. A parallelepiped is constructed from three > > vectors: A, B, and C. The volume of the parallelepiped is > > > > volume=A dot (B cross C). > > Notice that volume is a scalar quantity. Yes, volume is a scalar quantity. To get the volume, area HAS TO be a vector quantity. Can you finish your homework now? Home work for Eric Gisse: A rectangle sits in 3D space. The area vector of the rectangle is A, and the legth vector of one side of the rectangle is L. Please find the length vector of the other side of the rectangle? |