Help Me To Solve This Out

[Ahmet Ares]

If , OA'=3*OA , OB' = 2* OB
[where , OA', OA, OB, OB' are vector ]
in what ratio doers the point P in which AB and A'B' intersect divide these segments ?

 

[Uggohe]

If , OA'=3*OA , OB' = 2* OB
[where , OA', OA, OB, OB' are vector ]
in what ratio doers the point P in which AB and A'B' intersect divide these segments ?

You probably have to express the coordinates of A and B as a function of the coordinates of A' and B'
Like A.x = A'.x/3 and B.x=B'.x/2
and
A.y = A'.y/3 and B.y=B'.y/2

Then I would find the equation of the line passing by AB and A'B', put them in a system and you find the P point as a function of A, B, A' and B' coordinates.
Then if you calculate the distance of the point P to A and B, and A' and B', and the distance from A to B and from A' to B', you can find the ratio.
This only works if you already know that these segments intersect, otherwise you just find the intersection of the two lines passing by those segments and the last step wouldn't make sense.

There's probably an easier way btw

 

[Harry_the_cat]

Have you drawn a diagram?