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If a, b, c be the vectors represented by...

If a, b, c be the vectors represented by the sides of a triangle taken in order, then a+b+c=0

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Let ABC be a triangle such that
BC=a,CA=b and AB=c

Then, a+b+c=BC+CA+AB `(becauseBC+CA=BA)`
`=-AB+AB`
a+b+c=0 Hence proved.
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