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

  • question_answer
    Which of the following expressions are meaningful [IIT 1998; RPET 2001]

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

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

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

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

    Correct Answer: A

    Solution :

     Since \[(\mathbf{u}\,.\,\mathbf{v})\] is scalar and scalar dot or cross product are not defined for options b and d. So answers are a and c.


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