## Quick Reference

Suppose that a point *O* is chosen as origin (in the plane, or in 3-dimensional space). Given any point *P*, the position vector p of the point *P* is the vector represented by the directed line-segment . Authors who refer to as a vector call the position vector of *P*.

In mechanics, the position vector of a particle is often denoted by **r**, which is a function of the time *t*, giving the position of the particle as it moves. If Cartesian coordinates are used, then **r**=*x***i**+*y***j**+*z***k**, where *x*, *y* and *z* are functions of *t*.

*Subjects:*
Mathematics.

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