Why do mechanics courses still use vectors to represent angular

>>7712580
most mechanics courses are taught to baby physics majors who have only single variable calc under their belts.

>>7712630
wut?

physics majors don't take mechanics until their junior/senior year and they take multivariable calc their 1st or 2nd year....

>>7712630
It isn't that hard to teach some basic geometric algebra.

>>7712651
The complexity is conserved either way and the civil engineers are not going to put up with geometric algebra when they can barely interpolate from a log-log plot.

>>7712662
Fuck civil engineers. Let them fail.

>>7712668
>tfw just switched from civil last week
Fuck em
Monkeys that think they know calculus

>>7712681
Switched to what?

>>7712580
>bivectors
lol

>>7712580
>[math]r \wedge P[/math]
>fap
hehehe

The Wikipedia article says that bivectors are isomorphic to skew-symmetric matrices. So why bother? What do bivectors bi you? I can't think of a reason why I would use skew-symmetric matrices instead of vectors in general.

Hey, I'm bi-curious!

>>7713912
Because of their direction. It makes more sense.

>>7712580
>bivectors
>not p-forms

Stop trying to sound intelligent spouting the new word you learn yesterday.

>>7714013
I did just learn it yesterday, hence why I am confused that it isn't taught earlier.

>>7713957
Vectors don't have directions?

File: Untitled.png (27KB, 1024x768px) Image search: [Google]

27KB, 1024x768px

>>7714156
Angular quantities tend to be defined as a cross product of two vectors. Therefore something like angular momentum is taken as a vector orthogonal to the position and momentum vectors. However if you treat it instead as the wedge product of two vectors, and therefore as a bivector, it gives a more intuitive result.

See the picture.