BCECE Engineering BCECE Engineering Solved Paper-2008

  • question_answer The position vector of a point lying on the line joining the points whose position vectors are \[\hat{i}+\hat{j}-\hat{k}\]and \[\hat{i}-\hat{j}+\hat{k}\]is

    A)  \[\hat{j}\]                             

    B)         \[\hat{i}\]

    C)  \[\hat{k}\]                            

    D)         \[\vec{o}\]

    Correct Answer: B

    Solution :

    The position vector of mid point of line joining the points whose position vectors are \[\hat{i}+\hat{j}-\hat{k}\]and \[\hat{i}-\hat{j}+\hat{k}\] \[=\frac{\hat{i}+\hat{j}-\hat{k}+\hat{i}-\hat{j}+\hat{k}}{2}=\frac{2\hat{i}}{2}=\hat{i}\]

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