Intersect Woes.

I want to be able to intersect many tables. I am building my query from vb code in asp .net based on key fields entered in a search engine box.

my query should look like this, which will return the rows that will have the values var, var_2, var_3 in any columns.  All three must be in a row for it to be a hit.  I cant get this to work in ms sql.  I don't know if it supports this feature.

select * from t where column1 Like '%var%' or column2 like '%var%' or column3 like '%var%'
intersect
 select * from t where column1 Like '%var_2%' or column2 like '%var_2%' or column3 like '%var_2%'
intersect
select * from t where column1 Like '%var_3%' or column2 like '%var_3%' or column3 like '%var_3%'
 
I also googled around and found a where exists... But cant seem to figure out how to do multiple tables:
select * from t
where exists (select * from t where column1 Like '%var_3%' or column2 like '%var_3%' or column3 like '%var_3%')
i would like to add multiple conditions to the where exists table.  Could anyone please tell me what I am doing wrong.