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MHT CET202012 Oct 2020Evening ShiftMathematicsVector AlgebraActual

If a , b , c , d are the position vectors of the points A, B, C, D respectively such that 3 a - b +2 c -4 d = 0 , then the position vector of the point of intersection of the line segments A C and B D is

Options

  1. Ab +3 d 4
  2. B3 a + c 4
  3. Ca + c 2
  4. Db +4 d 5

Correct answer

D. b +4 d 5

Step-by-step solution

Given 3 a - b +2 c -4 d aligned 3 a +2 c &= b +4 d & 3 a +2 c 3+2 aligned = b +4 d 1+4 3 a +2 c 5 = b +4 d 5

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