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

  • question_answer
    If \[a,\,b\] and c are unit coplanar vectors then the scalar triple product \[[2a-b\,\,2b-c\,\,2c-a]\] is equal to    [IIT Screening 2000; Kerala (Engg.) 2005]

    A)             0

    B)             1

    C)             \[-\sqrt{3}\]

    D)             \[\sqrt{3}\]

    Correct Answer: A

    Solution :

                    Here \[[\mathbf{a}\,\mathbf{b}\,\mathbf{c}]=0\]                 The given scalar triple product =  k[a b c] = 0.


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