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

  • question_answer
    If \[\mathbf{i},\,\mathbf{j},\,\mathbf{k}\] are the unit vectors and mutually perpendicular, then \[[\mathbf{i}\,\mathbf{k}\,\mathbf{j}]\] is equal to                            [RPET 1986]

    A)             0

    B)             ? 1

    C)             1

    D)             None of these

    Correct Answer: B

    Solution :

                    \[|\mathbf{i}\,\mathbf{k}\,\mathbf{j}|\,=\mathbf{i}\,.\,(\mathbf{k}\times \mathbf{j})=\mathbf{i}\,.\,(-\mathbf{i})=-1.\]


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