Question

If a, b, c are position vectors of points A, B, C respectively, with 2a + 3b -5c = 0 , then the ratio in which point C divides segment AB is

• A. 3:2 externally
• B. 2:3 externally
• C. 3:2 internally
• D. 2:3 internally

Answer 1

Answer: (C)

3:2 internally

Answer 2

Given 2a + 3b −5c = 0
5c = 3b+2a
c = $\frac {3b+2a}{5}$
c = $\frac {3b+2a}{3+2}$
Therefore point c divides the line AB internally in the ratio of 3:2
So, the correct option is (C) 3:2 internally