Vector Algebra Question 383

Question: The vectors $ 2,\mathbf{i}+3,\mathbf{j}-4,\mathbf{k} $ and $ a,\mathbf{i}+b,\mathbf{j}+c,\mathbf{k} $ are perpendicular, when

[MNR 1982; MP PET 1988; MP PET 2002]

Options:

A) $ a=2,b=3,c=-4 $

B) $ a=4,b=4,c=5 $

C) $ a=4,b=4,c=-,5 $

D) None of these

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Answer:

Correct Answer: B

Solution:

  • To be perpendicular, $ 2a+3b-4c=0 $ and option satisfies this equation.