Cte 
Vector 
1 
2 
3 
  
Direction cosines for the three vectors in the original 
(X,Y,Z2) coordinate system 
Table |! 
Taking into consideration that the line AC has to lie in 
the new X'-Y' plane, one gets the direction cosines shown in Table Ill. 
Sais 
Vector 
  
1 
2 0 
3 L3 M3 Na 
  
Direction cosines for the three vectors in the new 
(X',Y', Z') coordinate system. 
Table 111 
The relationship between the original coordinate system repre- 
sented by the direction cosines matrix: 4 ni , and the new