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Last updated at March 22, 2023 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.