Contrary in English means different or opposite, which is why 'on the contrary' is used to show another option for someone, such as the example I've given above. Vice Versa comes from Latin, and literally means 'the other way around'.
What is opposite of vice versa?
Synonyms & Near Synonyms for vice versa. contrarily, conversely, inversely, oppositely.
What is an example of vice versa?
Vice Versa Usage
So, for example, if you're not particularly fond of your colleague, and you think the feeling is mutual, you can say: I don't like Bill, and vice versa. In this sentence, you're saying that you don't like Bill, and Bill doesn't like you. The subject becomes the object and vice versa.