Skew lines Wikipedia open wikipedia design. Skew lines are straight lines that are neither parallel nor intersecting. Skew lines cannot be in the same plane. This means they exist only in at least three-dimensional geometry. This short article about mathematics can be made longer. You can help Wikipedia by adding to it. This page is based on a Wikipedia article written by contributors (read/edit).Text is available under the CC BY-SA 4.0 license; additional terms may apply. Images, videos and audio are available under their respective licenses.