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

  • question_answer
    \[[\mathbf{a}\,\,\mathbf{b}\,\,\mathbf{a}\times \mathbf{b}]\] is equal to

    A)             \[|\,\,\mathbf{a}\times \mathbf{b}|\]

    B)             \[|\,\,\mathbf{a}\times \mathbf{b}{{|}^{2}}\]

    C)             0

    D)             None of these

    Correct Answer: B

    Solution :

                    We have \[[\mathbf{a}\,\,\mathbf{b}\,\,\mathbf{a}\times \mathbf{b}]=(\mathbf{a}\times \mathbf{b})\,.\,(\mathbf{a}\times \mathbf{b})=\,|\mathbf{a}\times \mathbf{b}{{|}^{2}}\].


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