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

  • question_answer
    If \[\mathbf{p}=7\mathbf{i}-2\mathbf{j}+3\mathbf{k}\] and \[\mathbf{q}=3\mathbf{i}+\mathbf{j}+5\mathbf{k},\] then the magnitude of \[\mathbf{p}-2\mathbf{q}\] is                                              [MP PET 1987]

    A) \[\sqrt{29}\]          

    B) 4

    C) \[\sqrt{62}-2\sqrt{35}\]        

    D) \[\sqrt{66}\]

    Correct Answer: D

    Solution :

    \[\mathbf{p}-2\mathbf{q}=\mathbf{i}-4\mathbf{j}-7\mathbf{k}\]


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