Q7 of 45 Page 1

P and Q are two points with position vectors and respectively. Write the position vector of a point R which divides the line segment PQ in the ratio 2:1 externally.

Given,


Position vector (P.V) of P =


And Position vector (P.V) of Q =


By section formula we know that if a point(with PV R) divides a vector externally in the ration m:n


Then PV of R is given by:


As, a point R divides the line segment PQ in the ratio 2:1 externally.


∴ m = 2 and n=1


∴ P.V of R =


⇒ P.V of R =


∴ P.V of R =


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