that vga is an analog signal, and (mini) dp / hdmi are both digital signals, an adapter will be required. also have an hdmi to vga adapter and it doesn't work on my mac, it does on my raspberry pi, haven't tried a pc yet. my apple tv has hdmi output that i connect to my hdtv so it should also work, i understand, to connect to a projector. to connect your imac or macbook (2008) to your hd led tv -- mini dvi to hdmi.
Connecting a Mac computer to a projector or TV or monitor using
How to Connect Macbook pro to external display - YouTube
, yes there is an adapter from the vga to hdmi, and the windows machine works with this hdmi, but the mbp does not. to connect macbook air to tv/monitor with hdmi cable. it's a small square plastic box which has the hdmi cable protruding on one end and the vga slot on the other end. if your macbook pro's desktop does not appear on the projector, press the "source" button on the projector until you see the laptop's screen.