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JEE Main & Advanced Mathematics Vector Algebra Question Bank Modulus of vector Algebra of vectors

  • question_answer
    The position vectors of two points A and B are \[\mathbf{i}+\mathbf{j}-\mathbf{k}\] and \[2\mathbf{i}-\mathbf{j}+\mathbf{k}\] respectively. Then \[|\overrightarrow{AB}|\,\,=\]                                                                                                                            [BIT Ranchi 1992]

    A) 2             

    B) 3

    C) 4             

    D) 5

    Correct Answer: B

    Solution :

    \[\overrightarrow{AB}=\mathbf{i}-2\mathbf{j}+2\mathbf{k}\Rightarrow |\overrightarrow{AB}|=3.\]


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