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Question: Answered & Verified by Expert
If line joining points A and B having positive vectors 6a-4b+4c and -4c respectively, and the line joining the points C and D having positive vectors -a-2b-3c and a+2b-5c intersect, then their point of intersection is
MathematicsVector AlgebraMHT CETMHT CET 2016
Options:
  • A B
  • B C
  • C D
  • D A
Solution:
1087 Upvotes Verified Answer
The correct answer is: B
λ( 6a 4b +4c )+( 4c ) λ+1 = μ( a 2b 3c )+( a +2b 5c ) 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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