The diagonals of the parallelogram ABCD intersect at point O, point E lies on the side of CD so that DE: EC = 2: 5.

univerkov | December 12, 2020 | education

The diagonals of the parallelogram ABCD intersect at point O, point E lies on the side of CD so that DE: EC = 2: 5. Express the vector OE in terms of vectors x = AB y = AD

OE = OC + CE = 1/2 AC + 5/7 CD = 1/2 (AB + AD) + 5/7 AB = 1/2 AB + 1/2 AD +5/7 AB = 17/14 AB + 1 / 2 AD = 17/14 x + 1/2 y
Answer: 17/14 x + 1/2 y

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