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## Homework Statement

For triange PQR with with X dividing vector PR in the ratio of 2:3, Y the midpoint of vector PQ and Z the pint of intersection of QX and RY prove that Z divides RY in the ratio 3:1

## Homework Equations

first i said that vector RZ was a scalar multiple of vector RY.

RZ=sRY

and my second equation was RZ=tRQ + (1-t)RX

## The Attempt at a Solution

first i got both equations in terms of sides of the triange.

RZ=s(RQ+1/2QP),

and RZ=tRQ +(1-t)3/5(RP)

RZ=tRQ+3/5(1-t)(RQ+QP)

then i set the two equations equal to each other and attempted to solve for s and t. I ended up getting s=6/5 and t=2/3. Any help?