They're two different frequency ranges. In the widest aspect, VHF is 30-300MHz and UHF is 300-3000MHz. However, that's awfully broad, so here's a further breakdown:
The general services in the VHF band are:
30–46 MHz: Licensed 2-way land mobile communication
30–88 MHz: Military VHF-FM, including SINCGARS
43–50 MHz: Cordless telephones, "49 MHz" FM walkie-talkies, and mixed 2-way mobile communication
50–54 MHz: Amateur radio 6 meter band
54–72 MHz: TV channels 2-4 (to be auctioned for other uses once conversion to digital TV has been accomplished)
72–75.5 MHz: Remote Control devices
75.5–87.5 MHz: TV channels 5-6 (to be auctioned for other uses once conversion to digital TV has been accomplished)
87.5–108 MHz: FM radio broadcasting (88–92 non-commercial, 92–108 commercial)
108–118 MHz: Air navigation beacons VOR
118–132 MHz: Airband for Air Traffic Control, AM, 121.5 MHz is emergency frequency
132–144 MHz: Auxiliary civil services, satellite, space research, and other miscellaneous services
144–148 MHz: Amateur band 2 Meters
148–174 MHz: "VHF Business band," the unlicensed Multi-Use Radio Service (MURS), and other 2-way land mobile, FM
156–174 MHz VHF Marine Radio; narrow band FM, 156.8 MHz (Channel 16) is the maritime emergency and contact frequency
162.40–162.55: NOAA Weather Stations, narrowband FM
174–216 MHz: TV channels 7 through 13, and professional wireless microphones (low power, certain exact frequencies only)
216–222 MHz: mixed services
222–225 MHz: Amateur "1¼ Meter" band (really closer to 1.33M)
above 225 MHz: Federal services, notably military aircraft radio (225–400 MHz) AM, including HAVE QUICK, dGPS RTCM-104
A brief summary of some UHF frequency usage:
300–420 MHz: government use, including meteorology
420–450 MHz: radiolocation and Amateur radio (ham - 70 cm band)
450–470 MHz: UHF business band, GMRS, and FRS 2-way "walkie-talkies"
470–512 MHz: TV channels 14–20, public safety
512–698 MHz: TV channels 21–51 (channel 34 used for radar, channel 37 used for radio astronomy)
698–806 MHz: TV channels 52–69 (to be auctioned for other uses once conversion to digital TV has been accomplished)
806–824 MHz: pocket pagers and Nextel SMR band (formerly TV channels 70–72)
824–849 MHz: Cellular phones, A & B franchises, mobile phone (formerly TV channels 73–77)
849–869 MHz: public safety 2-way (fire, police, ambulance - formerly TV channels 77–80)
869–894 MHz: cellular phones, A & B franchises, base station (formerly TV channels 80–83)
902–928 MHz: ISM band: cordless phones and stereo, RFID, datalinks, Amateur radio (33 cm band)
928–960 MHz: mixed Studio-Transmitter Links, mobile 2-way, other
1240–1300 MHz: Amateur radio (ham - 23 cm band)
1850–1910 MHz: PCS mobile phone—note below
1930–1990 MHz: PCS base stations—note below
note: order is A, D, B, E, F, C blocks. A, B, C = 15 MHz; D, E, F = 5 MHz
2310–2360 MHz: Satellite radio (Sirius and XM)
2390–2450 MHz: Amateur radio (ham - 13 cm band)
2400–2483.5 MHz: ISM, IEEE 802.11, 802.11b, 802.11g Wireless LAN
around 2450 MHz: Microwave oven
Giving credit where credit is due: above information gleaned from Wikipedia.
And from an end user perspective, you'll find VHF radios used in more rural open areas where as UHF usage is used in more in urban areas due to it's better penetration in buildings due to it's wavelength being much smaller.