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  • Vectors
  • Abcdef is a hexagon .show that ac→+ ob→ +oc→...

Abcdef is a hexagon .show that ac→+ ob→ +oc→ + od→ + oe→ + oe→ =0

Abcdef is a hexagon .show that ac→+ ob→ +oc→ + od→ + oe→ + oe→ =0

Grade:12th pass

1 Answers

Arun
25763 Points
3 years ago
 
n 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)

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