From: Androcles on

"Ka-In Yen" <yenkain(a)yahoo.com.tw> wrote in message news:1174868865.764091.250420(a)e65g2000hsc.googlegroups.com...
> On Mar 23, 2:52 pm, "Androcles" <Engin...(a)hogwarts.physics.co.uk>
> wrote:
>> "Ka-In Yen" <yenk...(a)yahoo.com.tw> wrote in messagenews:1174609519.513353.103920(a)l77g2000hsb.googlegroups.com...
>> > On Mar 13, 8:30 am, "Ka-In Yen" <yenk...(a)yahoo.com.tw> wrote:
>> >> On Mar 12, 9:31 am, "Androcles" <Engin...(a)hogwarts.physics.co.uk>
>> >> wrote:
>>
>> >> > "Ka-In Yen" <yenk...(a)yahoo.com.tw> wrote in messagenews:1173659938.685124.318260(a)c51g2000cwc.googlegroups.com...
>> >> > > On Mar 10, 1:07 pm, "Androcles" <Engin...(a)hogwarts.physics.co.uk>
>> >> > > wrote:
>> >> > >> Length is a vector, time is a scalar.
>>
>> >> > > Goose said "LENGTH IS NOT A VECTOR."
>>
>> >> > He's right, it's a scalar. See how easy it is to slip up? Even I goofed on that.
>>
>> >> Goose and you are ill-trained in 3D vector algebra.
>>
>> > SRians always describe themself a superior understanding
>> > of Einstein's four dimensional spacetime, but they are
>> > ill-trained in three dimensional vector algebra. What a
>> > bloody joke.
>>
>> I'm not an SRian, nor do I need training.
>
> Stupid physicists have been doing vector division for
> a hundred years; they need a remedial course in 3D
> vector algebra.

<yawn>

From: Ka-In Yen on
On Mar 26, 12:35 pm, "Androcles" <Engin...(a)hogwarts.physics.co.uk>
wrote:
> "Ka-In Yen" <yenk...(a)yahoo.com.tw> wrote in messagenews:1174868865.764091.250420(a)e65g2000hsc.googlegroups.com...
> > On Mar 23, 2:52 pm, "Androcles" <Engin...(a)hogwarts.physics.co.uk>
> > wrote:
> >> "Ka-In Yen" <yenk...(a)yahoo.com.tw> wrote in messagenews:1174609519.513353.103920(a)l77g2000hsb.googlegroups.com...
> >> > On Mar 13, 8:30 am, "Ka-In Yen" <yenk...(a)yahoo.com.tw> wrote:
> >> >> On Mar 12, 9:31 am, "Androcles" <Engin...(a)hogwarts.physics.co.uk>
> >> >> wrote:
>
> >> >> > "Ka-In Yen" <yenk...(a)yahoo.com.tw> wrote in messagenews:1173659938.685124.318260(a)c51g2000cwc.googlegroups.com...
> >> >> > > On Mar 10, 1:07 pm, "Androcles" <Engin...(a)hogwarts.physics.co.uk>
> >> >> > > wrote:
> >> >> > >> Length is a vector, time is a scalar.
>
> >> >> > > Goose said "LENGTH IS NOT A VECTOR."
>
> >> >> > He's right, it's a scalar. See how easy it is to slip up? Even I goofed on that.
>
> >> >> Goose and you are ill-trained in 3D vector algebra.
>
> >> > SRians always describe themself a superior understanding
> >> > of Einstein's four dimensional spacetime, but they are
> >> > ill-trained in three dimensional vector algebra. What a
> >> > bloody joke.
>
> >> I'm not an SRian, nor do I need training.
>
> > Stupid physicists have been doing vector division for
> > a hundred years; they need a remedial course in 3D
> > vector algebra.
>
> <yawn>

Great! Androcles did not f**** back. Britain has
restored her reputation of the land of gentlemen.

From: Ka-In Yen on
On Mar 22, 8:17 am, "Ka-In Yen" <yenk...(a)yahoo.com.tw> wrote:
> On Mar 16, 9:48 am, "Ka-In Yen" <yenk...(a)yahoo.com.tw> wrote:
> > Hamilton had discovered vector division.
> > Q=A/B (Q is quaternion. A and B are two vectors.)
> > Q.w = A dot B / B^2 ----- (3)
> > Q.v = AXB / B^2 ----- (4)
> > Equation (3) is applied to divide a length vector(L) by a
> > velocity(V).
> > L/V = (L dot V) / V^2 or
> > L/V = L^2 / (L dot V)
> > Also we can calculate pressure(p),
> > p = F/A = (F dot A)/ A^2 = |F| cos(theta) / |A|
> > where F is force, and A is area.
> > Equation (4) is applied to divide an area vector(A) by a length
> > vector(L).
> > A/L = AXL / L^2 or
> > A/L = A^2 / AXL
> > You may find the above applications in this thread.
>
> Dear Pmb,
> Do you have any questions?

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|
(where theta is the angle between F and A.)

And we can calculate the compenents of F:

F=F_p + F_v
F_p is parallel to A, and F_v is perpendicular to V.

F_p=A dot (F/A)
=A dot ( (F dot A) / A^2) = |F|cos(theta)( A / |A| )

F_v=A X (F/A)
=A X ( (F X A) / A^2 )
=( A X ( F X A ) ) / A^2
=F - |F|cos(theta)( A / |A|)

Homework for Eric Gisse:
Please prove F_v is perpendicular to A.

From: Sam Wormley on
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.
From: Bob Kolker on
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.

Bob Kolker

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