You should check out the microsoft help file "System Administration Scripting Guide". It's listed as a WinXP download, but many of the scripts work on Win2k workstations, and some work on Win9x if WBEM/WMI is installed.
The script below is almost exactly the same as a script in that help file. I modified it slightly so that all the processes show up in 1 box, rather than 1 box for each process. Change "computername" to the PC you want to see process info for, and save this as ps.vbs. You must run this as a domain administrator, and the remote "computername" must be a member of that same NT/2000 domain.
strComputer = "computername"
strList = strComputer & "'s processes" & vbcrlf
Set objWMIService = GetObject("winmgmts:" _
& "{impersonationLevel=impersonate}!\\" & strComputer & "\root\cimv2"
Set colProcessList = objWMIService.ExecQuery _
("Select * from Win32_Process"
For Each objProcess in colProcessList
colProperties = objProcess.GetOwner(strNameOfUser,strUserDomain)
strList = strList & vbcrlf & "Process " & objProcess.Name & " is owned by " _
& strUserDomain & "\" & strNameOfUser & "."
Next
Wscript.Echo strList