12th Class Mathematics Sample Paper Mathematics Olympiad - Sample Paper-3

  • question_answer
    The equation of the plane containing the lines \[\vec{r}={{\vec{a}}_{1}}+\lambda \,{{\vec{a}}_{2}}\] and \[\vec{r}={{\vec{a}}_{2}}+\lambda \,{{\vec{a}}_{1}}\] is

    A) \[[\vec{r}\,\,{{\vec{a}}_{1}}\,{{\vec{a}}_{2}}]=0\]      

    B)  \[[\vec{r}\,\,{{\vec{a}}_{2}}\,{{\vec{a}}_{1}}]={{\vec{a}}_{1}}.{{\vec{a}}_{2}}\]

    C)  \[[\vec{r}\,\,{{\vec{a}}_{2}}\,{{\vec{a}}_{1}}]={{\vec{a}}_{1}}.{{\vec{a}}_{2}}\]

    D)         None of these

    Correct Answer: A


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