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MHT CET2016MathematicsVector Algebra

If line joining points A and B having positive vectors 6 a → - 4 b → + 4 c → and - 4 c → respectively, and the line joining the points C and D having positive vectors - a → - 2 b → - 3 c → and a → + 2 b → - 5 c → intersect, then their point of intersection is

Options

  1. AB
  2. BC
  3. CD
  4. DA

Correct answer

A. B

Step-by-step solution

λ ( 6 a → − 4 b → + 4 c → ) + ( − 4 c → ) λ + 1 = μ ( − a → − 2 b → − 3 c → ) + ( a → + 2 b → − 5 c → ) μ + 1 Comparing coefficients of a → , b → , c → on both sides, we get λ = 0 , μ = 1 ⇒ B is the point of intersection

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