Q1 of 26 Page 1

The position vectors of points A and B are and respectively.

P divides AB in the ratio 3 : 1 and Q is mid-point of AP. Find the position vector of Q.


Given: P divides AB in the ratio 3:1


and Q is the midpoint of AP


To find: Position vector of Q


Proof: Given Position vector are



and





Now, we have to find the position vector of Q


Q is the midpoint of AP i.e. Q divides AP in 1 : 1






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