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MHT CET20227 Aug 2022Morning ShiftMathematicsVector AlgebraActual

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

Options

  1. A2:3 internally
  2. B2:3 externally
  3. C3:2 internally
  4. D3:2 externally

Correct answer

C. 3:2 internally

Step-by-step solution

2 a +3 b =5 c c = 2 a +3 b 5 = 2 a +3 b 2+3 i.e., c divides a and b in the ratio 3:2 internally

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