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Sum of median vectors of a triangle in terms of its sides

This type of question, asked 2 times: 9 May 2024 S2, 11 Apr 2026 S1. All 2 questions below, oldest first.

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  1. Question 1

    9 May 2024 S2

    145
    If D, E and F are the mid-points of the sides BC, CA and AB of triangle ABC respectively, then AD→+23BE→+13CF→=\overrightarrow{AD}+\frac{2}{3}\overrightarrow{BE}+\frac{1}{3}\overrightarrow{CF}=

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  2. Question 2

    11 Apr 2026 S1

    92
    If D and E are the midpoints of the sides BA and BC of triangle ABC, then AE‾+DC‾=\overline{AE} + \overline{DC} =

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