Will this adapter work to connect my Canon video camera, which has a DV cable port, to my mac?

I also have a firewire cable which I used w my old PC, but the thunderbolt to firewire adapter doesn't work with it.

Belkin FireWire 800 9/9-Pin Cable + 9/4-Pin Adapter

Belkin FireWire 800 9/9-Pin Cable + 9/4-Pin Adapter

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