ABCDE is a pentagon prove that ab +bc +cd + de + ea =0

Question

Arun · Answer

(AB+BC)+(CD+DE)+EA =AC+(CE+EA) =AC+CA both are equal in magnitude but opposite in direction thus, AC+CA=0

NACHIKETA PANDA · Answer

AB+BC+CD+DE+EA =(AB+BC)+CD+DE+EA =AC+CD+DE+EA =(AC+CD)+DE+EA =AD+(DE+EA) =AD+DA {ALL SOLUTIONS AND ADDITIONS ARE BASED ON THE TRIANGLE LAW OF VECTOR ADDITION} Now,both AD and DA are equal in magnitude but opposite in direction. i.e. AD+DA=0

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ABCDE is a pentagon prove that ab +bc +cd + de + ea =0

ABCDE is a pentagon prove that ab +bc +cd + de + ea =0

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