Radius vector is a term used in mathematics to describe the straight line segment that connects a point to the origin of a coordinate system. However, there are several synonyms used to describe this vector. One of the most common alternatives is position vector. Another synonym for radius vector is displacement vector, which is similar to position vector but refers to the change in position between two points. Other synonyms for radius vector include directed line segment, endpoint-vector, and radius of a point. While these terms are interchangeable, their use may vary depending on the context. However, regardless of the term used, they all refer to the same mathematical concept.