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JEE Main & Advanced Mathematics Vector Algebra Question Bank Scalar triple product and their applications

  • question_answer
    If \[\mathbf{a}=3\mathbf{i}-\mathbf{j}+2\mathbf{k},\] \[\mathbf{b}=2\mathbf{i}+\mathbf{j}-\mathbf{k},\] then \[\mathbf{a}\times (\mathbf{a}\,.\,\mathbf{b})=\] [Karnataka CET 1994]

    A)             3a

    B)             \[3\sqrt{14}\]

    C)             0

    D)             None of these

    Correct Answer: D

    Solution :

                    \[\mathbf{a}\times (\mathbf{a}\,.\,\mathbf{b})\] is not meaningful.


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