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JEE Main & Advanced Physics Vectors Question Bank Addition and Subtraction of Vectors

  • question_answer
    What vector must be added to the two vectors \[\hat{i}-2\hat{j}+2\hat{k}\] and \[2\hat{i}+\hat{j}-\hat{k},\] so that the resultant may be a unit vector along     x-axis                                               [BHU 1990]

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

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

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

    D)                             \[-2\hat{i}-\hat{j}-\hat{k}\]

    Correct Answer: B

    Solution :

                        \[(\hat{i}-2\hat{j}+2\hat{k})+(2\hat{i}+\hat{j}-\hat{k})+\vec{R}=i\]                 \ Required vector \[\vec{R}\]= \[-2\hat{i}+\hat{j}-\hat{k}\]


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