Is it possible to implement vectors in VB.net as done in C++? If not, how
can I declare an object that is a collection of integers similar to a
vector?

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You can use any of the .NET collections classes, some of which will give you
equivalent functionality:

http://msdn2.microsoft.com/en-us/library/0ytkdh4s.aspx

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Hmmm, System.Collections.Generic.List is probably the closest to the
STL Vector class... Assuming your are using VB2005. If you are using
a previous version, then look at the System.Collections.ArrayList
class - though, it won't be as efficient because it takes type object
and so you will have boxing overhead with value types such as integer.

--
Tom Shelton