OUTCOME CS$2-$ only attempt if not mastered on previous exam

I can use momentum conservation to predict and describe the behavior of a system, especially involving collisions

CS$2$: An $4000$ kg asteroid travels through space at a constant $3\mathrm{.}2k\frac{m}{s}$ in the $+x$ direction. An alien spaceship lands on the asteroid and grabs it$.$ The spaceship has a mass of $5400$ kg and was traveling at $8\mathrm{.}6k\frac{m}{s}$ at an angle of $29$ degrees relative to the $+x-$axis $($towards the northeast$)$ before the collision. What is the magnitude and direction of the asteroid and spaceship's velocity after the landing? Include a sketch of the before and after motion, with coordinate system.