Simple way to initialize an array or a range

Trying to find a quick and dirty way to initialize an array to 0 values. Using arrays and the Redim statement does the trick but for learning sake I tried to do this with the resize method on ranges which doesn't work. Assume cells A1,B1,A2 and B2 have non-zero values. Here is the code.

Sub test()

Dim rgn As Range

    Set rgn = Range("A1:B2")
    rgn.Resize(3, 2).Select           'This does select the larger range of 3 rows and 2 columns
    rgn.Value = 0                        'This only sets the cells A1,B1,A2,B2 to zero but not A3 and B3.  Why?

End Sub

Thanks.