ABCDE is a pentagon prove that ab +bc +cd + de + ea =0
roshan , 7 Years ago
Grade 12
Vectors> ABCDE is a pentagon prove that ab +bc +cd...
2 Answers
Arun
Last Activity: 7 Years ago
(AB+BC)+(CD+DE)+EA
=AC+(CE+EA)
=AC+CA
both are equal in magnitude but opposite in direction
thus, AC+CA=0
=AC+(CE+EA)
=AC+CA
both are equal in magnitude but opposite in direction
thus, AC+CA=0
NACHIKETA PANDA
Last Activity: 4 Years ago
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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