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From: Androcles on 26 Mar 2007 00:35 "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 26 Mar 2007 20:31 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 22 Apr 2007 22:06 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 22 Apr 2007 22:25 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 23 Apr 2007 09:41
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 |