When you search for google in yahoo. the software asks us to search in Yahoo.Try this
search.yahoo.com/search;_ylt=A ...

That has been there for quite a while.

Live use to have an even bigger search box [for Live Search] when searching for Google.

They finally seem to have removed it.

This is very similar to what was reported here almost 2 years ago:
blogoscoped.com/archive/2005-1 ...

It's the wrong thinking. If they want to keep people who search for "google", they should simply display a Google search box in the results! This way, these people will come back to Yahoo.com next time they want to google something. Be an ocean, not a ship, the ocean is more powerful than the ships on it!

Exactly! Give the people exactly what they are searching for! Isn't that what search engines are supposed to do?

search.yahoo.com/search;_ylt=A ...
Also for msn search