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

  • question_answer
    \[\mathbf{i}\,.\,(\mathbf{j}\times \mathbf{k})+\mathbf{j}\,.\,(\mathbf{k}\times \mathbf{i})+\mathbf{k}\,.\,(\mathbf{i}\times \mathbf{j})=\]            [Karnataka CET 1994]

    A)             1

    B)             3

    C)             ? 3

    D)             0

    Correct Answer: B

    Solution :

                    \[\mathbf{i}\,.\,(\mathbf{j}\times \mathbf{k})+\mathbf{j}\,.\,(\mathbf{k}\times \mathbf{i})+\mathbf{k}.(\mathbf{i}\times \mathbf{j})\]=\[\mathbf{i}\,.\,\mathbf{i}+\mathbf{j}\,.\,\mathbf{j}+\mathbf{k}\,.\,\mathbf{k}=3.\]


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