JEE Main & Advanced Mathematics Vector Algebra Question Bank Scaler or Dot product of two vectors and its application

  • question_answer
    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]

    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

    Correct Answer: B

    Solution :

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


You need to login to perform this action.
You will be redirected in 3 sec spinner