Last updated at May 6, 2021 by Teachoo

Transcript

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. 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, (ii) externally. Position vector of R = (2(ππ) β β 1(ππ) β)/(π β π) (ππ ) β = (2(π β + π β ) β 1(3π β β 2π β))/(2 β 1) = (2π β + 2π β β 3π β + 2π β)/1 = βπ β + 4π β = 4π β β π β

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About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.