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KVPY Sample Paper KVPY Stream-SX Model Paper-14

  • question_answer
    If \[\left[ \begin{matrix}    \overrightarrow{a}\times \overrightarrow{b} & \overrightarrow{b}\times \overrightarrow{c} & \overrightarrow{c}\times \overrightarrow{a}  \\ \end{matrix} \right]=\lambda {{\left[ \vec{a}\,\,\vec{b}\,\,\vec{c} \right]}^{2}},\]then \[\lambda \] is equal to;

    A) 2         

    B) 3

    C) 0         

    D) 1

    Correct Answer: D

    Solution :

    \[\left[ \begin{matrix}    \overrightarrow{a}\times \overrightarrow{b} & \overrightarrow{b}\times \overrightarrow{c} & \overrightarrow{c}\times \overrightarrow{a}  \\ \end{matrix} \right]={{\left[ \vec{a}\,\vec{b}\,\vec{c} \right]}^{2}}\] \[\lambda =1,\]


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