The words Keek, Peek and Peep are related: keek is the most ancient form used in dialects of northern England. Peek is derived from Keek and Peep from Peek. In the majority of cases Peep and Peek are interchangeable. Maybe at times when you want to express someone is looking into someone else's personal things, then Peep may be more suitable. You would say for example "A pervert installed cameras in the women's lockers to peep at them walking in and out of the showers."
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