?Do you recognize who she is?→Do you recognize her? or
Do you know who she is?
?Do you have an idea whose we meet tomorrow?→Do you have any idea who we're meeting tomorrow? or Do you know who we're meeting tomorrow?
?I recognize that man who is wearing red T-shirt, but I don't remember him exactly. Do you know who he is?
(How about you?) →I recognize the man wearing the red t-shirt, but I don't remember his name.