The diagonals of the parallelogram ABCD intersect at point O. find the sum of the vectors:

The diagonals of the parallelogram ABCD intersect at point O. find the sum of the vectors: a) AO + OB; b) AO + OC; c) AO + OC + CD; d) AB + BC.

To add vectors, you need to find the same components of the vectors (for example, in AB and BC this is B), move them “facing each other” (BC and AB need to be moved so that B is at the end of one or the beginning of another vector: AB and BC) and remove this component by connecting the remaining parts of the vectors (when adding vectors AB and BC, you need to remove B and connect A and C: AB + BC = AC)
a) AO + OB = AB
b) AO + OC = AC
c) AO + OC + CD = AC + CD = AD
d) AB + BC = AC