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Find the position vector of a point which divides the join of points with position vectors a−2b and 2a+b externally in the ratio 2 : 1 - Mathematics

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Find the position vector of a point which divides the join of points with position vectors `veca-2vecb" and "2veca+vecb`externally in the ratio 2 : 1

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Solution

Let A and B be the points with position vectors `veca-2vecb" and "2veca+vecb`respectively.

Also, let R divide AB externally in the ratio 2 : 1. 

`:."Position vector of R"=(2xx(2veca+vecb)-1xx(veca-2vecb))/(2-1)=3veca+4vecb`

Concept: Basic Concepts of Vector Algebra
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