<p>Lego Mindstorms has no official support on radio-control, I believe. While it may be possible, it will most likely require a good deal of hacking, because the kit is NOT user-customizable friendly. I highly discourage this option, but take my advice with a grain of salt. (Though the actual parts, such as wheels, lego bricks, and gears, may be useful)</p>
<p>I have no experience with Vex, so I can’t tell you anything about that.</p>
<p>Another idea is to have an r/c truck as a chassis and drive system, while you build a robotic arm on top of it that is remote controlled. The arm part I have no idea how you’d do, but just another thing to consider.</p>
<p>Could you describe the objectives?</p>