Answer: I thought at first your plant might be a Purple Passion Vine or Gynura, but that has yellow flowers. Here is a photo (You may need to cut and paste the complete url into your browser to make it work correctly.)
Then I thought it might be a Zebrina or Tradescantia of some sort, but that has purply pink flowers. Here is a photo
Then I wondered about oxalis, but that is not really a vining plant and I don't think it would be called hairy:
Then it occurred to me you might have a landscape plant, rather than a house plant. Could it be Actinidia Kolomikta -- kiwi?
And finally, I remembered Tahitian Bridal Veil (Tripogandra multiflora) and I really do think this is probably your plant.
I hope this is it!
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