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

Updated On: Apr 1, 2025

3:2 externally
2:3 externally
3:2 internally
2:3 internally

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The Correct Option is C

Solution and Explanation

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

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Match List-I with List-II:

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