I have the above question and I have though about it every way and can't seem to find out. So what I have concluded (ignore the answers on the img) Is that the force is on the z axis because the cross product of the two would be the normal of the plane it lies on which is into or outof the screen.
Thus I am saying that first one is false because it is on the z axis, the finite amount I said true because it leaves the magnetic field when being pushed perpendicularly away. The next one because it IS normal to the velocity. Lastly the y-component is unchanged again because the force points the z direction not the y.
Any reasons to what I am thinking wrong any help would be appreciated.