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

  • question_answer
    In the triangle ABC, \[\overrightarrow{AB}=\mathbf{a},\,\,\overrightarrow{AC}=\mathbf{c},\,\,\overrightarrow{BC}=\mathbf{b}\], then                                                                                 [RPET 1984]

    A) \[\mathbf{a}+\mathbf{b}+\mathbf{c}=\mathbf{0}\]    

    B) \[\mathbf{a}+\mathbf{b}-\mathbf{c}=\mathbf{0}\]

    C) \[\mathbf{a}-\mathbf{b}+\mathbf{c}=\mathbf{0}\]      

    D) \[-\,\mathbf{a}+\mathbf{b}+\mathbf{c}=\mathbf{0}\]

    Correct Answer: B

    Solution :

    \[\overrightarrow{AB}+\overrightarrow{BC}+\overrightarrow{CA}=0\Rightarrow \mathbf{a}+\mathbf{b}-\mathbf{c}=0.\]


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