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CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2001

  • question_answer
    If\[\overrightarrow{a}=(2,-3,-7),\overrightarrow{b}=(3,-1,2),\]\[\overrightarrow{c}=(4,5,-1),\]then the scalar triple product\[[\overrightarrow{a}\text{ }\overrightarrow{b}\text{ }\overrightarrow{c}]\]is equal to:

    A)  180                       

    B)         184

    C)  \[-184\]              

    D)         84

    E)  none of these

    Correct Answer: C

    Solution :

    \[[\overrightarrow{a}\,\,\overrightarrow{b}\,\,\overrightarrow{c}]=\left| \begin{matrix}    2 & -3 & -7  \\    3 & -1 & 2  \\    4 & 5 & -1  \\ \end{matrix} \right|\] \[=2(1-10)+3(-3-8)-7(15+4)\] \[=2(-9)+3(-11)+-7(19)\] \[=-18-33-133=-184\]


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