Misc 9 - Find R, if it divides P(2a + b), Q(a - 3b) externally - Section formula

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  1. Chapter 10 Class 12 Vector Algebra
  2. Serial order wise
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Misc 9 Find the position vector of a point R which divides the line joining two points P and Q whose position vectors are (2 + ) and ( 3 ) externally in the ratio 1 : 2. Also, show that P is the mid point of the line segment RQ. = 2 + = 3 R divides PQ externally in the ratio 1 : 2 position vector of R = = 1 3 2(2 + ) 1 = 3 4 2 1 = 3 5 1 = + So, position vector of R = = 3 +5 Now we have to find the mid point of RQ Position vector of mid-point = + 2 = 3 + 3 + 5 2 = 4 + 2 2 = 2 + This is the position vector of P. So, P is the mid point of RQ.

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.