Yet Another Vectors Problem

Point I divides line segment YZ (arrow on top) in a 2:3 Ratio. Point G is any point outside the given line. Please find vector GY (arrow on top) in terms of vector GI and GZ (both arrow on top) by elementary vector properties.

Here is a diagram: http://img14.imageshack.us/img14/7862/diagramee.png

Regards,

Re: Yet Another Vectors Problem

Find the following vectors: IZ, YI, IY, GY.

Re: Yet Another Vectors Problem

If someone could show step by step solutions, I would really appreciate it.