Originally Posted by Jeeples
Your symptoms sounds just like what it does when it's not doing what it should because of how it is.
Also, I agree - check for codes first of all. Also, did the power loss happen when initially started? After it warmed up? The entire time you were driving? Did this start out of nowhere or did something happen previously that may help us figure out what's going on? The more you help us, the more we can help you.
Just off what you say, the loss of power instantly triggered in my mind an issue with your catalytic convertor or O2 sensors but that's just a guess without more information.
Steering wheel shake - does it shake all the time, when hitting bumps, at certain speeds, etc.?
Oh, and what vehicle do you have (year/trim/engine/trans/transfercase/etc.)? Filling out your profile will be helpful.