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

  • question_answer
    If \[\mathbf{a}\,.\,\mathbf{i}=4,\] then \[(\mathbf{a}\times \mathbf{j})\,.\,(2\mathbf{j}-3\mathbf{k})=\] [EAMCET 1994]

    A)             12

    B)             2

    C)             0

    D)             ? 12

    Correct Answer: D

    Solution :

                    \[(\mathbf{a}\times \mathbf{j})\,.\,(2\mathbf{j}-3\mathbf{k})=\mathbf{a}\,.\{\mathbf{j}\times (2\mathbf{j}-3\mathbf{k})\}\]                                 \[=\mathbf{a}\,.\,\{-3(\mathbf{j}\times \mathbf{k})\}=-3(\mathbf{a}\,.\,\mathbf{i})=-12.\]


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