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

  • question_answer
    \[\mathbf{a}\,.\,(\mathbf{a}\times \mathbf{b})=\] [MP PET 1996]

    A)             b . b

    B)             \[{{a}^{2}}b\]

    C)             0

    D)             \[{{a}^{2}}+ab\]

    Correct Answer: C

    Solution :

                    Since \[\mathbf{a}\times \mathbf{b}\] is perpendicular to \[\mathbf{a}\] and \[\mathbf{b}\] both, therefore \[\mathbf{a}\,.\,(\mathbf{a}\times \mathbf{b})=0.\] \[(\because \]Scalar product of two perpendicular vector is zero)


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