Vectors in geometry (proofs)
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The line \(ADB\) is divided in the ratio \(AD:DB=m:n\). \(\overrightarrow{OA}=a\), \(\overrightarrow{OB}=b\). \(\overrightarrow{OD}=\)?
\(\dfrac{{mb - na}}{{m + n}}\)
\(\dfrac{{ma + nb}}{{m + n}}\)
\(\dfrac{{ma - nb}}{{m + n}}\)
\(\dfrac{{mb + na}}{{m + n}}\)
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