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Question Number 168801 by Ari last updated on 17/Apr/22

Commented by cortano1 last updated on 18/Apr/22

$$\overrightarrow{AO}=\frac{2}{3}\overrightarrow{AC}=\frac{4}{3}(\overrightarrow{a}+\overrightarrow{b})$$

Commented by mr W last updated on 18/Apr/22

$$\overrightarrow{AO}=\frac{3}{4}\overrightarrow{AC}=\frac{3}{4}(\overrightarrow{a}+\overrightarrow{b})$$

Commented by Ari last updated on 18/Apr/22

$$\overrightarrow{AO}=\frac{2}{3}(\overrightarrow{a}+\overrightarrow{b})$$

Commented by mr W last updated on 18/Apr/22

Commented by mr W last updated on 18/Apr/22

$$\overrightarrow{AC}=\overrightarrow{a}+\overrightarrow{b}$$$$AE=EC=\frac{AC}{2}$$$$EO=OC=\frac{EC}{2}=\frac{AC}{4}$$$$AO=AC-OC=AC-\frac{AC}{4}=\frac{3}{4}\times AC$$$$\Rightarrow \overrightarrow{AO}=\frac{3}{4}\overrightarrow{AC}=\frac{3}{4}(\overrightarrow{a}+\overrightarrow{b})$$

Commented by Ari last updated on 18/Apr/22

Yes Mr.You are right!

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