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

  • question_answer
    If \[\mathbf{a}=(2,\,\,5)\] and \[\mathbf{b}=(1,\,\,4),\] then the vector parallel to \[(\mathbf{a}+\mathbf{b})\] is

    A) (3, 5)      

    B) (1, 1)

    C) (1, 3)

    D) (8, 5)

    Correct Answer: C

    Solution :

    \[\mathbf{a}+\mathbf{b}=3\mathbf{i}+9\mathbf{j}=3(\mathbf{i}+3\mathbf{j}).\] Hence it is parallel to \[(1,\,3).\]               


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