1
Question
In a regular hexagon ABCDEF,−−→AE=
In a regular hexagon ABCDEF,−−→AE=
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Solution
The correct option is B −−→AC+−−→AF−−−→AB
−−→AE=−−→AB+−−→BC+−−→CD+−−→DE
=−−→AC+−−→AF+−−→DE (−−→AF is parallel and equal to −−→CD)
=−−→AC+−−→AF+−−→BA (−−→BA=−−→DE, −−→BA∥−−→DE)
−−→AE=−−→AC+−−→AF−−−→AB
−−→AE=−−→AB+−−→BC+−−→CD+−−→DE
=−−→AC+−−→AF+−−→DE (−−→AF is parallel and equal to −−→CD)
=−−→AC+−−→AF+−−→BA (−−→BA=−−→DE, −−→BA∥−−→DE)
−−→AE=−−→AC+−−→AF−−−→AB
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