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
    The position vectors of A and B are \[2\mathbf{i}-9\mathbf{j}-4\mathbf{k}\] and \[6\mathbf{i}-3\mathbf{j}+8\mathbf{k}\] respectively, then the magnitude of \[\overrightarrow{AB}\] is                                                                                     [MP PET 2000]

    A) 11          

    B) 12

    C) 13          

    D) 14

    Correct Answer: D

    Solution :

    \[\overrightarrow{AB}=(6-2)i+(-3+9)j+(8+4)k\]\[=4i+6j+12k\]                 \[|\overrightarrow{AB}|\,=\sqrt{16+36+144}=14.\]


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