If 2` vec A C` = 3` vec C B` , then prove that 2` vec O A` =3` vec C B` then prove that 2` vec O A` + 3` vec O B` =5` vec O C` where `O` is the origin.

Explanation

`2vec(AC)=3vec(CB)` or `2(vec(OC)-vec(OA))=3(vec(OB)-vec(OC))`
or `" "2vec(OA)+3vec(OB)=5vec(OC)`