Ex 10.2, 15 - Find position vector of a point R divides line - Ex 10.2

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  1. Chapter 10 Class 12 Vector Algebra
  2. Serial order wise

Transcript

Ex 10.2, 15 Find the position vector of a point R which divides the line joining two points P and Q whose position vectors are + 2 and + + respectively, in the ratio 2 : 1 (i) internally = + 2 = + + Position vector of R = 2. + 1. 2 + 1 = 2 + + + 1( + 2 + ) 3 = 2 + 2 + 2 + + 2 3 = + 4 + 3 Thus, position vector of R dividing P and Q internally is + + Ex 10.2, 15 Find the position vector of a point R which divides the line joining two points P and Q whose position vectors are + 2 and + + respectively, in the ratio 2 : 1 (ii) externally Position vector of R = 2 1 2 1 = 2 + + 1( + 2 ) 2 1 = 2 + 2 + 2 2 + 2 1 = 3 + 3 Thus, position vector of R dividing P and Q externally is 3 + 3

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