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
    Five points given by A, B, C, D, E are in a plane. Three forces \[\overrightarrow{AC},\,\,\overrightarrow{AD}\] and \[\overrightarrow{AE}\] act at A and three forces \[\overrightarrow{CB},\,\,\overrightarrow{DB},\,\,\overrightarrow{EB}\] act at B. Then their resultant is                                                                                                        [AMU 2001]

    A) \[2\overrightarrow{AC}\]    

    B) \[3\overrightarrow{AB}\]

    C) \[3\overrightarrow{DB}\]    

    D) \[2\overrightarrow{BC}\]

    Correct Answer: B

    Solution :

    Points A, B, C, D, E are in a plane. Resultant \[=(\overrightarrow{AC}+\overrightarrow{AD}+\overrightarrow{AE})+(\overrightarrow{CB}+\overrightarrow{DB}+\overrightarrow{EB})\]                 \[=(\overrightarrow{AC}+\overrightarrow{CB})+(\overrightarrow{AD}+\overrightarrow{DB})+(\overrightarrow{AE}+\overrightarrow{EB})\]                 \[=\overrightarrow{AB}+\overrightarrow{AB}+\overrightarrow{AB}=3\overrightarrow{AB}\].


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