The invention relates to a method for determining whether a tooth is correctly shaped and oriented to avoid interference with another tooth using virtual articulation. The method comprises a) receiving data indicative of a virtual dentition of an oral cavity of a patient by a computing device, the data indicative of the virtual dentition including data indicative of at least one of a virtual mandibular arch representing a mandibular arch of the patient or a virtual maxillary arch representing a maxillary arch of the patient; b) receiving data indicating a selected point on the virtual dentition of the oral cavity; and c) determining a tangent vector indicating a direction of motion of the selected point and determining whether the orientation of a tooth of the virtual dentition or the shape of the tooth is correctly shaped and oriented based on the determined tangent vector, wherein the tangent vector is based on a rotational axis of the virtual mandibular arch.