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JEE Main & Advanced Mathematics Vector Algebra Question Bank Vector triple product

  • question_answer
    \[\mathbf{a}\times (\mathbf{b}\times \mathbf{c})\] is coplanar with

    A)          b and c

    B)          c and a

    C)          a and b

    D)          a, b and c

    Correct Answer: A

    Solution :

               \[\mathbf{b}\times \mathbf{c}\] is a vector perpendicular to \[\mathbf{b},\,\mathbf{c}.\] Therefore, \[\mathbf{a}\times (\mathbf{b}\times \mathbf{c})\] is a vector again in plane of \[\mathbf{b},\,\mathbf{c}.\]


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