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I am struggling with one question in vector proofs.

If D, E, and F are the midpoints of the sides of a triangle ABC, prove that

OD + OE + OF = OA + OB + OC

I dont really understand what we are trying to prove here. My first thought was that from some origin, to the points D E and F added up, is the same distance from some origin to A B and C added up.

I would really apprcieate some help. Also are there any tips or techniques you can give for generally solving questions that ask for proof?

Thanks

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# Vector Proof

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