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From: yen, ka-in on 27 Dec 2006 19:44 Phineas T Puddleduck wrote: > 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? Please refer to area integral: http://hyperphysics.phy-astr.gsu.edu/hbase/intare.html#c1
From: Sam Wormley on 27 Dec 2006 19:44 Ka-In Yen wrote: > 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. > I migh not hurt you to do some self education about the principles of vector algebra and then special relativity. Vector Algebra http://mathworld.wolfram.com/topics/VectorAlgebra.html
From: Sam Wormley on 27 Dec 2006 19:56 yen, ka-in wrote: > 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? > Did I not already point out to Ka-In Yen that dot product (scalar quantity) is the area of the parallelogram created by vectors. Inner Product(Dot Product) http://www.ies.co.jp/math/java/vector/naiseki_e/naiseki_e.html
From: Eric Gisse on 27 Dec 2006 19:56 yen, ka-in wrote: > 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? Area is not a vector, retard.
From: Eric Gisse on 27 Dec 2006 19:57
Ka-In Yen wrote: > 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. No, the only thing you have proven is that you are ill-trained in vector algebra. |