2. Questions Bank
  3. JEE Main & Advanced
  4. Mathematics
  5. Vector Algebra

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

  • question_answer
    If the position vectors of P and Q are \[(\mathbf{i}+3\mathbf{j}-7\mathbf{k})\] and \[(5\mathbf{i}-2\mathbf{j}+4\mathbf{k}),\] then \[|\overrightarrow{PQ}|\] is                [MP PET 2001, 03]

    A) \[\sqrt{158}\]        

    B) \[\sqrt{160}\]

    C) \[\sqrt{161}\]        

    D) \[\sqrt{162}\]

    Correct Answer: D

    Solution :

    \[\overline{PQ}=(5-1)\mathbf{i}+(-2-3)\mathbf{j}+(4+7)\mathbf{k}=4\mathbf{i}-5\mathbf{j}+11\mathbf{k}\] \[|\overline{PQ}|=\sqrt{16+25+121}=\sqrt{162}\,.\]


You need to login to perform this action.
You will be redirected in 3 sec spinner