The relationship between characters from John Nash's point of view, is awkward at best. In the film, he managed to portray (the lack of) friendly relationships between his colleagues. Whenever they talked to him, he make few eye contacts and making out-of-context remarks that might offend some people, but luckily they think of him as 'eccentric'.
His relationship with his roommate, Charles Herman, differs with his colleagues, where he opens up more towards him despite not really liking him at first because of his extroverted behaviour.
While in Princeton, he had a strained relationship with Martin Hansen, the one whom he shares a scholarship with. Hansen frequently provokes Nash for not being a social person, and belittles him because of his lack of achievement.
John's relationship with his wife, Alicia, is the one frequently shown in film, symbolizing their closeness and how much he's in love with her. Alicia is the definition of a good wife, where she stayed with John through thick and thin, even when he's hospitalized, she still chooses to make the relationship work.
Alas, human beings need affection and love from others. Alicia is frustrated because John won't connect to her emotionally, and this can be seen in this particular scene, where she screamed in the bathroom because John refused to talk to her, owing to the medication he took. He became apathetic and this is the turning point of Alicia treating him coldly.