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From: Ka-In Yen on 15 Mar 2007 21:48 On Mar 5, 4:35 am, "Pmb" <som...(a)somewhere.net> wrote: > > Ka-In Yen wrote: > >> 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? > I don't see where they got that notion of area vector. As I know it the > "Area Vector" is a vector whose direction is normal to a surface element and > whose magnitude is the area of the surface element. I guess you can extend > this to finite areas which would then make the above comment meaningful, but > not something which is readily solveable due to lack of information. 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.
From: Ka-In Yen on 21 Mar 2007 20:17 On Mar 16, 9:48 am, "Ka-In Yen" <yenk...(a)yahoo.com.tw> wrote: > On Mar 5, 4:35 am, "Pmb" <som...(a)somewhere.net> wrote: > > > > Ka-In Yen wrote: > > >> 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? > > I don't see where they got that notion of area vector. As I know it the > > "Area Vector" is a vector whose direction is normal to a surface element and > > whose magnitude is the area of the surface element. I guess you can extend > > this to finite areas which would then make the above comment meaningful, but > > not something which is readily solveable due to lack of information. > > 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?
From: Ka-In Yen on 22 Mar 2007 20:25 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.
From: Androcles on 23 Mar 2007 02:52 "Ka-In Yen" <yenkain(a)yahoo.com.tw> wrote in message news: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. http://www.androcles01.pwp.blueyonder.co.uk/Vector/Vector.htm Mass is not a vector, what a bloody joke.
From: Ka-In Yen on 25 Mar 2007 20:27
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. |