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ABCDEF is a regular hexagon with point O...

ABCDEF is a regular hexagon with point O as centre. Find the value of `vec(AB) + vec(AC) + vec(AD) + vec(AE) + vec(AF)`

Text Solution

Verified by Experts

From the diagram
`(vecAB)=-(vecDE)(vec BC=-vec EF)`
`vec(AB)+vec(AC)+vec(AD)+vec(AE)+(vecAF)`
`cancel vec(AB)+(cancel vec(AB)+cancel vec(BC))+vec(AD)+(vec(AD)+cancel vec(DE))+(vec(AD)+cancel vec(DE)+cancel vec(EF))`
`=3vec(AD)=3(2vec(AO))=6(vec(AO))`
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