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

  • question_answer
    If a vector a lie in the plane b and g then which is correct                                     [Orissa JEE 2005]

    A)             \[[\alpha \,\,\beta \,\,\gamma ]=0\]

    B)             \[[\alpha \,\,\beta \,\,\gamma ]=1\]

    C)             \[[\alpha \,\,\beta \,\,\gamma ]=3\]

    D)             \[[\beta \,\,\gamma \,\,\alpha ]=1\]

    Correct Answer: A

    Solution :

                    As vector \[\alpha \]lies in the plane of \[\beta \] and \[\gamma \]                                 Þ \[\alpha ,\,\beta ,\,\gamma \] are coplanar Þ \[[\alpha \,\,\beta \,\,\gamma ]=0\].


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