![Example 11 - Chapter 10 Class 12 Vector Algebra - Part 2](https://d1avenlh0i1xmr.cloudfront.net/f1ad354b-55df-4cff-8088-5965cd0265c0/slide24.jpg)
Examples
Last updated at April 16, 2024 by Teachoo
Example 11 Consider two points P and Q with position vectors (ππ) β = 3π β β 2π β and (ππ) β = π β + π β . Find the position vector of a point R which divides the line joining P and Q in the ratio 2 : 1, (i) internally, and Given (ππ) β = 3π β β 2π β (ππ) β = π β + π β Position vector of R = (π(πΆπΈ) β + π(πΆπ·) β)/(π + π) (ππ ) β = (2(π β + π β ) + 1(3π β β 2π β ))/(2 + 1) = (2π β + 2π β + 3π β β 2π β)/3 = (ππ β)/π Thus, position vector of R dividing P and Q internally is (5π β)/3.