ABCD-parallelogram O-intersection point of diagonals, find the sum of vectors BC + AO.

The diagonals of the parallelogram, at the point of their intersection, are divided in half, then OA = CO = AC / 2.

Let’s match the beginning of the vector OA with the end of the vector BC.

Then the vector OA is equal to the vector CO and the vectors coincide in direction.

Then the sum of vectors BC + AO = BC + CO = VO.

Answer: The sum of vectors BC + AO = BO.



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