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

  • question_answer
    For three vectors u, v, w which of the following expressions is not equal to any of the remaining three         [IIT 1998]

    A)             \[\mathbf{u}\,.\,(\mathbf{v}\times \mathbf{w})\]

    B)             \[\,(\mathbf{v}\times \mathbf{w})\,.\,\mathbf{u}\,\]

    C)             \[\mathbf{v}\,.\,(\mathbf{u}\times \mathbf{w})\]

    D)             \[(\mathbf{u}\times \mathbf{v})\,.\,\mathbf{w}\]

    Correct Answer: C

    Solution :

                    Options a, b and d = \[[\mathbf{u},\,\,\mathbf{v},\,\,\mathbf{w}]\] while option c \[=-[\mathbf{u},\,\,\mathbf{v},\,\,\mathbf{w}]\].


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