Racial profiling is something that occurs in the context of crime, for example, when at airports more passengers of certain ethnicities or origins are stopped and searched than others. This is particularly true for those passengers who come originally from the Middle East or wear clothes that we associate with Islam.
For me, while not a "technical" definition, racial profiling is something a person does (assumptions made) based upon a person's ethnic background, cultural ideals (based upon racial stereotypes), or religious beliefs (also based upon racial stereotypes). These stereotypes are based upon how society, or one's own cultural upbringing denotes them. For example, a person who grows up in a rural and white area may make racial stereotypes based upon their societies concepts of other races.
To add to the previous post, racial profiling is done by looking at what racial groups tend to be more likely to commit a certain type of crime and then being more suspicious of all members of that group. It is not simply scrutiny of a group for no reason at all. For example, police officers often (allegedly) treat all black men driving nice cars as potential drug dealers because a higher percentage of drug dealers are black as compared to white.
Model minority is a term often used in reference to Asian Americans because so many members of that group have been high-achieving and highly productive citizens. Some Asian Americans resent the term because they find it a kind of confining stereotype. For a good fictional treatment of Asians as a "model" minority, see Amy Tan's novel The Joy Luck Club.
Racial profiling refers to the practice of paying special attention to members of particular ethnic groups when prosecuting crimes or looking for possible criminal behavior.
Yellow peril was a term used by opponents, in the United States, of immigration from Asia; the term was especially common in the early twentieth century.