We are given points and .
Let these points be
Also, given in the question that,
A point divides AB in the ratio of 3 : 1.
Let this point be C.
⇒ C divides AB in the ratio = 3 : 1
We need to find the position vector of C.
We know the position vector of a point C dividing the line segment joining the points P and Q, whose position vectors are p and q in the ratio m : n internally is given by,
According to the question, here
m : n = 3 : 1
⇒ m = 3 and n = 1
Substituting these values in the formula above, we get
Thus, position vector of the point is .
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