VIT - VITEEE 2025
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Section Formula is considered one of the most asked concept.
14 Questions around this concept.
If
If position vector of a point A is a +2b and a divides Ab in the ratio 2:3, then the position vector of B is :
What is the position vector of a point which divides point A with position vector,
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Let A and B be two points represented by the position vectors
Let R be a point that divides the line segment joining the points A and B in the ratio m: n.
Internal Division
If R divides AB internally in the ratio m: n, then the position vector of R is given by
Proof :
Let
or
Now from triangles ORB and OAR, we have
and,
Therefore, we have
or
Hence, the position vector of the point R which divides A and B internally in the ratio of m: n is given by
External Division
If R divides AB externally in the ratio m: n, then the position vector of R is given by
NOTE:
If R is the midpoint of AB, then m = n. And therefore, the midpoint R of
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