One possible reason is that you're assumed to have already decided which TV to use (or to have no choice), but the choice of video cables is still open or is more flexible. In other words, "using" means "already using", while "use" has at least half an eye on the future.
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anglista2008Sorry, but I don't get it... What if I said "use" in both sentences or what if I said "using" in both of them? There has to be a grammar rule for that