Show Summary Details

## Quick Reference

(in vectors)

Let *A* and *B* be two points with position vectors **a** and **b**, and *P* a point on the line through *A* and *B*, such that *AP* : *PB*=*m* : *n*. Then *P* has position vector **p**, given by the section formula

It is possible to choose *m* and *n* such that *m*+*n*=1 and thus to suppose, changing notation, that *AP* : *PB*=*k* : 1−*k*. Then **p**=(1−*k*)**a**+*k***b**.

*Subjects:*
Mathematics.

## Related content in Oxford Index

##### Reference entries

Users without a subscription are not able to see the full content. Please, subscribe or login to access all content.