No, it will not work.
The DVI adapter is DVI-D, which only carries the digital signal. I think the VGA adapter has a DAC in it or something, because I could have sworn DisplayPort only carries digital signal as well.
Also, beware, the VGA adapter failed to work with my 40" LCD TV...seems to be a common issue, something about not enough power output. The DVI adapter with a DVI-HDMI cable works perfectly however.