三维向量差积,以及应用

Cross u,v gets a new vector uxv

The result of uxv is:

  uxv=(Yu*Zv–Zu*Yv)*i+(Zu*Xv–Xu*Zv)*j+(Xu*Yv–Yu*Xv)*k

  We use the determinant to memory it.

Actually,uxv·u=uxv·v=0

  uxv⊥plane u,v

  ||uxv||=||u||||v||sint (used to calculate the area of △AOB,OA=u,OB=v)

Appling in 2-D plane

  We get Cross((x1,y1),(x2,y2))=(x1*y2-x2*y1) is the area of a parallelogram

 

posted @ 2020-03-13 22:43  墨鳌  阅读(439)  评论(0编辑  收藏  举报