Two objects, $$ and $,$ collide. The initial momentum of the of the first and second objects are:

$=(6,10,5)$ and $=(3,13,2)$

The momentum of the first and second objects after the collision are: $=(1,9,4)$ and

$=2,,.$

$1)$ Determine $$ and $.$

$2)$ Determine the final kinetic energy of particle $2$ if $=10$

$3)$ Determine the final velocity vector of particle $2.$