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

  • question_answer
    In the figure, a vector x satisfies the equation \[\mathbf{x}-\mathbf{w}=\mathbf{v}\]. Then x =

    A) \[2\mathbf{a}+\mathbf{b}+\mathbf{c}\]        

    B) \[\mathbf{a}+2\mathbf{b}+\mathbf{c}\]

    C) \[\mathbf{a}+\mathbf{b}+2\mathbf{c}\]        

    D) \[\mathbf{a}+\mathbf{b}+\mathbf{c}\]

    Correct Answer: B

    Solution :

    \[\mathbf{v}=\mathbf{b}+\mathbf{c}\]                               ?..(i) \[\mathbf{w}=\mathbf{b}+\mathbf{a}\]                              ?..(ii) We have, \[\mathbf{x}=\mathbf{v}+\mathbf{w}=\mathbf{a}+2\mathbf{b}+\mathbf{c}\].


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