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RAJASTHAN ­ PET Rajasthan PET Solved Paper-2001

  • question_answer
    If\[\overrightarrow{a}\]and\[\overrightarrow{b}\]are non-collinear vectors and \[x\overrightarrow{a}+y\overrightarrow{b}=0,\]then

    A) \[x=0\]but it is not necessary for y to be 0

    B)  not dependent on\[x\]and \[y\]

    C)  \[x=0,y=0\]

    D)  dependent on\[x\]and y

    Correct Answer: C

    Solution :

     If \[\overrightarrow{a}\]and\[\overrightarrow{b}\]are non-collinear vectors and \[x\overrightarrow{a}+y\overrightarrow{b}=0\] \[\Rightarrow \]\[x=0\]and \[y=0\] Otherwise\[\overrightarrow{a}\]and \[\overrightarrow{b}\]are collinear.


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