(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

There is a triangle(AOB). One of its median is drawn. BO is divided in the ratio 2:1. The resultant point(say C) is joined with the vertex A. Find the ratio (y) in which E divides CA .

http://img88.imageshack.us/img88/8496/vectorszx0.png [Broken]

3. The attempt at a solution

Let O b the origin an the position vectors of A and b are [tex]\vec{a}[/tex] and [tex]\vec{b}[/tex].

Let the median meet OA at D. Position vector of d=[tex]\vec{a/2}[/tex]

Position vector of C=[tex]\vec{b/3}[/tex]

Let E divide BD in ratio x:1

equating the coordinates of e

[tex]\frac{x\vec{a/2}+\vec{b}}{x+1}=\frac{y\vec{b/3}+\vec{a}}{y+1}[/tex]

What I need is more equation to solve for y! Please Help me!!

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# Homework Help: Vector question

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