Final answer:
The dorsal column system is responsible for vibration, two-point discrimination, and proprioception, crossing in the medulla, whereas the spinothalamic tract conveys pain and temperature sensations, decussating in the spinal cord.
Step-by-step explanation:
The spinal tract that deals with vibration, two-point discrimination (ability to distinguish separate points on the skin), and proprioception (sense of body position and movement) is the dorsal column system, which carries this type of information and crosses the midline in the medulla. The tract that is primarily responsible for pain and temperature sensation is the spinothalamic tract, which decussates at the level of the spinal cord where the sensory information enters. Both tracts begin with dorsal root ganglion cells, with second neurons that project contralaterally, and the third neuron synapses in the thalamus before projecting to the somatosensory cortex.