ABCDEF is a regular hexagon. Show that
(i)  
(ii) 
where O is centre of the hexagon.

∵  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,                                             ...(3)
as O is the mid-point of AD.

Adding (1), (2) and (3), we get,