NIMCET 2020 Mathematics Question 34 with Solution

Question 34

Mathematics Scalar and Vector Products Hard

The position vectors of A and B are \(\rm \vec{a}\) and \(\rm \vec{b}\)Then the position vector of point p dividing AB in the ration m : n is

(A) \(\rm \frac{\rm n\vec{a} +m \vec{b}}{m+n}\)

(B) \(\rm \frac{\rm n\vec{a} +m \vec{b}}{m-n}\)

(C) \(\rm \frac{\rm n\vec{a} -m \vec{b}}{m+n}\)

(D) None of these

View Dynamic Solution & Explanation ▼

Correct Solution: Option A

Step-by-step Solution:

This is a direct formula. The position vector of the point \( p \) is: \[ \frac{n \vec a + m \vec b}{m + n} \]