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

  • question_answer
    Volume of the parallelopiped whose coterminous edges are \[2\mathbf{i}-3\mathbf{j}+4\mathbf{k},\,\,\mathbf{i}+2\mathbf{j}-2\mathbf{k},\,\,3\mathbf{i}-\mathbf{j}+\mathbf{k},\] is [EAMCET 1993]

    A)             5 cubic unit

    B)             6 cubic unit

    C)             7 cubic unit

    D)             8 cubic unit

    Correct Answer: C

    Solution :

                    \[V=\left| \,\begin{matrix}    2 & -3 & 4  \\    1 & 2 & -2  \\    3 & -1 & 1  \\ \end{matrix}\, \right|\,=\,|-7|\,=7\] cubic unit.


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