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AP EAMCET202421 May 2024Evening ShiftMathematicsThree Dimensional GeometryActual

If a , b , c , d are position vectors of 4 points such that 2 a +3 b +5 c -10 d = 0 then the ratio in which the line joining c and d divides the line segment joining a and b is

Options

  1. A2: 3
  2. B-1: 2
  3. C2: 1
  4. D3: 2

Correct answer

D. 3: 2

Step-by-step solution

aligned & 2 a +3 b +5 c -10 d = 0 , 2 a +3 b =10 d -5 c & 2 a +3 b 5 = 2 d - c 1 2 a +3 b 3+2 = 2 d - c 2-1 aligned Line joining c and d divides the line joining a and b in 3:2.

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