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In abcdef is a regular hexagon in which AB=a ,BC=b then AE=?

In abcdef is a regular hexagon in which AB=a ,BC=b then AE=?
 

Grade:12th pass

1 Answers

Arun
25763 Points
2 years ago

HereAB→=a→andBC→=b→

AsfromthefigureCDisparalleltoFAbutintheoppositedirection so,CD→=-AB→=-a→

DEisparalleltoABbutintheoppositedirectionso,DE→=-AB→=-b→FBistheresultantofthevectorFA andABso,FB=VectorsumofFAandAB=a→+b→Weknowthatinaregularhexagon,AD=2BCso,AD→=2b→Andweknowthat,AC→+CD→=AD→SoCD→=2b→-a→-b→=b→-a→

SinceAF→=-CD→so,AF→=a→-b→AndweknowthatAD→+DE→=AE→AE→=2b→-a→

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