From: yen, ka-in on

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
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
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

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

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.

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