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JEE Main & Advanced Physics Two Dimensional Motion Question Bank Self Evaluation Test - Motion in a Plane

  • question_answer
    The vector that must be added to the vector \[\widehat{i}-3\widehat{j}+2\widehat{k}\] and \[3\widehat{i}-6\widehat{j}+7\widehat{k}\] so that the resultant vector is a unit vector along the y-axis, is

    A) \[4\widehat{i}-2\widehat{j}+5\widehat{k~}~~\]

    B)        \[-\,4\widehat{i}-2\widehat{j}+5\widehat{k~}~~\]

    C) \[3\widehat{i}-4\widehat{j}+5\widehat{k~}~~\]

    D)        Null vector

    Correct Answer: B

    Solution :

    [b] Unit vector along y axis =\[\hat{j}\], so the required vector \[=\hat{j}-\left[ \left( \hat{i}-3\hat{j}+2\hat{k} \right)+\left( 3\hat{i}+6\hat{j}-7\hat{k} \right) \right]\] \[=-\,4\,\hat{i}-2\hat{j}+5\hat{k}\]


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