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

  • question_answer
    If OP = 8 and \[\overrightarrow{OP}\] makes angles \[{{45}^{o}}\] and \[{{60}^{o}}\] with OX-axis and OY-axis respectively, then \[\overrightarrow{OP}=\]

    A) \[8\,(\sqrt{2}\mathbf{i}+\mathbf{j}\pm \mathbf{k})\]    

    B) \[4\,(\sqrt{2}\mathbf{i}+\mathbf{j}\pm \mathbf{k})\]

    C) \[\frac{1}{4}(\sqrt{2}\mathbf{i}+\mathbf{j}\pm \mathbf{k})\]    

    D) \[\frac{1}{8}(\sqrt{2}\mathbf{i}+\mathbf{j}\pm \mathbf{k})\]

    Correct Answer: B

    Solution :

    Trick : Here is the only vector \[4(\sqrt{2}\mathbf{i}+\mathbf{j}\pm \mathbf{k})\], whose length is 8.


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