The name is an Icelandic and Faroese female name and comes from the Old Norse word for “oak”. It remains the word for oak in Dutch, Norwegian, Icelandic and Faroese. However, its usage as a female given name is exclusive to both Iceland and the Faroe Islands. The Danish word for oak (eg), the Swedish word for oak (ek) and the German word for oak (eiche) share the same etymological root.
According to the Icelandic Registry, 18 women bore Eik as a first name and 110 bore it as a middle name.