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# Vectors problem

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Consider points O, A, B, C, D and R in the diagram below, such that AR = 4, BR = 2, CR = 2, and DR = 6:

If there exist real numbers and such that

\((1-t) \overrightarrow{OA} + t \overrightarrow{OB} = (1-u) \overrightarrow{OC} + u \overrightarrow{OD}\)

find t and u.

Mar 25, 2022