Lipitor is a brand name for the generic drug atorvastatin, which is used to lower cholesterol levels in the blood. According to the sources provided, there is no known interaction between Lipitor and non-fat dairy products.

However, it is important to note that certain foods can affect the absorption and effectiveness of Lipitor. For example, grapefruit and grapefruit juice can increase the level of Lipitor in the blood, leading to a higher risk of side effects. It is recommended to avoid grapefruit and grapefruit juice while taking Lipitor.

In general, it is recommended to take Lipitor with a glass of water and to avoid taking it with food that is high in fat or cholesterol. This is because high-fat meals can reduce the absorption of Lipitor and make it less effective.

It is always important to talk to a healthcare provider or pharmacist about any potential food or drug interactions when taking medication. They can provide personalized advice based on an individual's specific medical history and current medications.

Sources:
[1] Drug Patent Watch. Lipitor. https://www.drugpatentwatch.com/p/tradename/LIPITOR
[2] US Pharmacist. Food-Drug Interactions. https://www.uspharmacist.com/article/fooddrug-interactions
[3] WebMD. Lipitor Oral: Uses, Side Effects, Interactions, Pictures, Warnings & Dosing. https://www.webmd.com/drugs/2/drug-3330/lipitor-oral/details