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

  • question_answer
    Which of the following is not a unit vector for all values of q

    A) \[(\cos \theta )\mathbf{i}-(\sin \theta )\,\mathbf{j}\]       

    B) \[(\sin \theta )\,\mathbf{i}+(\cos \theta )\,\mathbf{j}\]

    C) \[(\sin \,\,2\theta )\,\mathbf{i}-(\cos \theta )\,\mathbf{j}\]             

    D) \[(\cos \,\,2\theta )\,\mathbf{i}-(\sin \,\,2\theta )\,\mathbf{j}\]

    Correct Answer: C

    Solution :

    Since \[{{\sin }^{2}}2\theta +{{\cos }^{2}}\theta \] is not equal to one necessarily.


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