Saved Bookmarks
| 1. |
If u=ax+by+cz, v=ay+bz+cx, w=ax+bx+cy, then the value of |{:(a,b,c),(b,c,a),(c,a,b):}|xx|{:(x,y,z),(y,z,x),(z,x,y):}| is |
|
Answer» `U^(2)+v^(2)+w^(2)-2uvw` `=|{:(u,v,w),(w,u,v),(v,w,u):}|` `=u(u^(2)-vw)-v(wu-v^(2))+w(w^(2)-uv)` `=u^(3)+v^(3)+w^(3)-3uvw` |
|