In the same way that a vector is usually represented by a line segment, a
bivector can be represented by a parallelogram where the component vectors
form the sides. I was imagining a naive representation where you just store
the component vectors.
type alias Bivector = { a : Vector, b : Vector }
So if force and position are 3D vectors, then the torque bivector is 6D.
(But you could come up with more efficient representations that use fewer
components.)
On Sun, Jan 22, 2017 at 5:58 PM, Max Goldstein <maxgoldste...@gmail.com>
wrote:
> I think the quantities you meant to compare are torque and energy (both of
>> which have units of force*length).
>>
>
> Yup, sorry.
>
>
>> Torque, although sometimes expressed as a scalar or a vector, is actually
>> best represented as a bivector (two components per spatial dimension in
>> whatever system we are looking at).
>>
>
> How so? I know that the force and length are orthogonal, but that would
> still be one component per spatial dimension.
>
> --
> You received this message because you are subscribed to the Google Groups
> "Elm Discuss" group.
> To unsubscribe from this group and stop receiving emails from it, send an
> email to elm-discuss+unsubscr...@googlegroups.com.
> For more options, visit https://groups.google.com/d/optout.
>
--
You received this message because you are subscribed to the Google Groups "Elm
Discuss" group.
To unsubscribe from this group and stop receiving emails from it, send an email
to elm-discuss+unsubscr...@googlegroups.com.
For more options, visit https://groups.google.com/d/optout.
