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

  • question_answer
    If \[\mathbf{a}=2\mathbf{i}+5\mathbf{j}\] and \[\mathbf{b}=2\mathbf{i}-\mathbf{j},\] then the unit vector along \[y=0\] will be                                   [RPET 1985, 95]

    A) \[\frac{\mathbf{i}-\mathbf{j}}{\sqrt{2}}\]        

    B) \[ap+bq+cr=0\]

    C) \[{{90}^{o}}\]   

    D) \[\frac{\mathbf{i}+\mathbf{j}}{\sqrt{2}}\]

    Correct Answer: D

    Solution :

    \[\mathbf{a}+\mathbf{b}=4\mathbf{i}+4\mathbf{j},\] therefore unit vector \[\frac{4\,(\mathbf{i}+\mathbf{j})}{\sqrt{32}}=\frac{\mathbf{i}+\mathbf{j}}{\sqrt{2}}.\]


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