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comment Rotations of a cube
Isn't a cube symmetric so a rotation of 90° doesn't change anything? Unless this is a die with 6 different sides. If it is, each side has four configurations for a total of 24 combinations.
1d
comment For a linear system, why is direction “stored” in the variables when considering it as linear equations, but in vectors when its as a vector equation?
I was introduced to it as part of my Graduate Research in multi-body dynamics (robotics). There is geometrical connection that goes like this Algebraic or Projective Geometry -> Screw Theory -> Dynamics and the duality of Projective Geometry manifests itself in Dynamics also.
Aug
30
comment Using matrices to solve questions
Look into en.wikipedia.org/wiki/Markov_chain
Aug
30
comment For a linear system, why is direction “stored” in the variables when considering it as linear equations, but in vectors when its as a vector equation?
PS. I am not a mathematician. I am just a user of this stuff so I probably didn't do a very good job of explaining the interpretation of coordinates and the role of duality in geometry.
Aug
30
revised For a linear system, why is direction “stored” in the variables when considering it as linear equations, but in vectors when its as a vector equation?
added 578 characters in body
Aug
30
revised For a linear system, why is direction “stored” in the variables when considering it as linear equations, but in vectors when its as a vector equation?
added 578 characters in body
Aug
30
answered For a linear system, why is direction “stored” in the variables when considering it as linear equations, but in vectors when its as a vector equation?
Aug
30
revised Calculating centre of rotation given point coordinates at different positions
added 571 characters in body
Aug
30
answered Calculating centre of rotation given point coordinates at different positions
Aug
27
accepted Envelope of two sine waves interfering
Aug
27
answered Envelope of two sine waves interfering
Aug
25
revised Find 2d point given 2d point and transformation matrix
added 32 characters in body
Aug
25
awarded  Revival
Aug
20
comment Prove the theorem on analytic geometry in the picture.
Does this mean if you cut the curves with an angle $\theta$ the difference is $\Delta \ell = \theta r$?
Aug
17
comment Tangent to the x-1 Axis
I wonder what an x-1 axis is?
Aug
9
answered Find the general solution of $\cos(x)-\cos(2x)=\sin(3x)$
Aug
7
comment Time taken to accelerate and travel 100m
Not that the weight to power ratio is $7.8 \mbox{ kg/hp}$ which is a normal value for a non-sports car.
Aug
7
answered Time taken to accelerate and travel 100m
Aug
7
comment Time taken to accelerate and travel 100m
This is more of a Physics type of question I think.
Aug
6
answered Write the expression in terms of a single sin $-\sqrt{3} \sin x + \cos x$