I'm trying to prove fact, that positive determinant of e.g is counter-clockwise then and only then when the determinant is positive. In other words, that (u,v,p), where u=(a,d,g); v=(b,e,h), p=(c,f,i); is right-oriented set in R3.
I tried to play with matrix of rotation, but I wasn't successful.
Thank for ideas
P.S I'm not sure about the right English terminology, sorry for that