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

  • question_answer
    The vectors \[3\,\mathbf{i}+\mathbf{j}-5\,\mathbf{k}\] and \[a\,\mathbf{i}+b\,\mathbf{j}-15\,\mathbf{k}\]are collinear, if             [RPET 1986; MP PET 1988]

    A) \[a=3,\,\,b=1\]      

    B) \[a=9,\,\,b=1\]

    C) \[a=3,\,\,b=3\]      

    D) \[a=9,\,\,b=3\]

    Correct Answer: D

    Solution :

    \[\frac{3}{a}=\frac{1}{b}=\frac{-5}{-15}\Rightarrow a=9,\,\,b=3.\]


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