|
|
You can geometrically find the anticlockwise angles the sides of the hexagon make with the +X axis. They are 0,  /3, 2 /3, ( = 3/3), 4/3, 5/3
Suppose the length of the hexagon side be L.
Then the X components are
L = L cos0
L cos/3
L cos2/3
-L = L cos = L cos3/3
L cos4/3
Lcos5/3
The vectors A1, A2, ...A6 form a closed hexagon and hence their resultant is zero.
Then the X component of their resultant must also be zero. The X component of the resultant is the sum of the X components of the individual vectors. Hence
L cos0 + L cos/3 + L cos2/3 + L cos3/3 + L cos4/3 + Lcos5/3 = 0
cos0 + cos/3 + cos2/3 + cos3/3 + cos4/3 + cos5/3 = 0
|
Moderation Team
![[Post New]](/templates/default/images/icon_minipost_new.gif){kind=icon}
![[Up]](/templates/default/images/icon_up.gif "[Up]"){kind=icon}
380
