Long Answer Type
 then O is the point of intersection of lines joining the middle points of the opposite sides of ABCD.If 
 and 
, show that
(i)Â 
 have the same direction and 
(ii)Â 
 have opposite direction andÂ
Short Answer TypeLong Answer Type
 in terms of 
.
∵  O is centrc of regular hexagon
∵  O is the mid-point of each of the diagonals AD. BE. CF
In ∆ ABE, O is mid-point of BE
                 ...(1)
In 
  O is the mid-point of FC
                 ...(2)
Also, Â 
                      ...(3)
as O is the mid-point of AD.
Adding (1), (2) and (3), we get,
             
, prove that
       (ii)    
     (iii) 
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