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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
 #1
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t = 2/5, u = 2/7.

 Apr 9, 2022

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