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Manipal Medical Manipal Medical Solved Paper-2013

  • question_answer
    The\[(x,\text{ }y,\text{ }z)\]co-ordinates of two points A and B are given respectively as\[(0,3,-1)\]and\[(-2,6,4)\]. The displacement vector from A to B may be given by

    A)  \[-2i+6j+4k\]

    B)  \[-2i+3j+3k\]

    C)  \[-2i+3j+5k\]

    D)  \[2i-3j-5k\]

    Correct Answer: C

    Solution :

     Let\[A=(0,3-1)\]and \[B=(-2,6,4)\] \[A=3\hat{j}-\hat{k}\] and     \[B=-2\hat{i}+6\hat{j}+4\hat{k}\] The displacement vector from A to B \[=B-A\] \[=(-2\hat{i}+6\hat{j}+4\hat{k})-(3\hat{j}-\hat{k})\] \[=-2\hat{i}+3\hat{j}+5\hat{k}\]


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