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NEET Sample Paper NEET Sample Test Paper-57

  • question_answer
    Which vector is added to \[\hat{i}-5\hat{j}+2\hat{k}\] and \[3\hat{i}+6\hat{j}-7\hat{k}\] will make a unit vector along the x-axis?

    A) \[\hat{i}-5\hat{j}+2\hat{k}\]                  

    B) \[3\hat{i}+6\hat{j}-7\hat{k}\]

    C) \[-\,3\hat{i}-\hat{j}+5\hat{k}\]               

    D) \[4\hat{i}+\hat{j}-5\hat{k}\]

    Correct Answer: C

    Solution :

    [c] Let \[\vec{A}=\hat{i}-5\hat{j}+2\hat{k}\text{ }\vec{B}=3\hat{i}+6\hat{j}-7\hat{k}\] According to Question \[\vec{A}+\vec{B}+\vec{P}\,(say)=\hat{i}\](Resultant vector along x-axis) \[\hat{i}-5\hat{j}+2\hat{k}+3\hat{i}+6\hat{j}-4\hat{k}+P=\hat{i}\] \[\vec{p}=-\,3\hat{i}-\hat{j}+5\hat{k}\]


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