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

  • question_answer
    If \[\mathbf{a}=2\mathbf{i}+4\mathbf{j}+2\mathbf{k}\] and \[\mathbf{b}=8\mathbf{i}-3\mathbf{j}+\lambda \mathbf{k}\] and \[\mathbf{a}\,\bot \,\mathbf{b},\] then value of \[\lambda \] will be [RPET 1995]

    A)             2

    B)             ? 1

    C)             ? 2

    D)             1

    Correct Answer: C

    Solution :

                    Clearly, \[8\times 2-3\times 4+2\times \lambda =0\Rightarrow \lambda =-2.\]


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