Arun
Last Activity: 7 Years ago
In a regular hexagon
Let O be origin
Hence
Let
OA = a, OB = b,
OC = c
Now
OD = - OA = -a
OE = -OB = -b
OF = - OC = -c
Now coming to the LHS of question
OA+ OB + OC + OD + OE + OF
= OA + OB + OC -OA -OB - OC
= 0
RHS
HENCE PROVED
regards
Arun (askIITians forum expert)