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If ` vec a ,\ vec b ,\ vec c` be the vectors represented by theside sof a triangle, taken in order, then prove that ` vec a+ vec b+ vec c= vec0dot`

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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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