This term originated through the use of scat, or nonsensical language. It is meant to be pronounced in a very loud and high pitch tone of voice with particular emphasis on the "wee" part of the word when one articulates it. It also works best when an individual is enduring a barrage of stress in that particular moment. Therefore, the word, when used correctly, relieves stress.
Alex: "Hey Kristy, how're you doing today?"
Kristy: "Not too well. I hate school and work! I just want to scream!"
Alex: "Have you tried the Aweeka method?"
Kristy: "Tried it?! I live by it! AwEEEEEEEEEEEEEEEEEEEEEEEEEka!"
A person you hate intensely not because they deserve such hatred but because they serve as a focus for your general hatred. A healthy way to dispense with excess animosity.
Jake's not really that big an asshole. He just serves as my hate sink.