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

  • question_answer
    \[[i\,\,k\,\,j]+[k\,\,j\,\,i]+[j\,\,k\,\,i]\] [UPSEAT 2002]

    A)             1

    B)             3

    C)             ? 3

    D)             ? 1      

    Correct Answer: D

    Solution :

    \[[\mathbf{i}\,\mathbf{k}\,\mathbf{j}]\,+[\mathbf{k}\,\mathbf{j}\,\mathbf{i}]+[\mathbf{j}\,\mathbf{k}\,\mathbf{i}]\,=\,[\mathbf{i}\,\mathbf{k}\,\mathbf{j}]+[\mathbf{i}\,\mathbf{k}\,\mathbf{j}]\,-[\mathbf{i}\,\mathbf{k}\,\mathbf{j}]\]\[=[\mathbf{i}\,\mathbf{k}\,\mathbf{j}]=-1\].


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