JEE Main & Advanced Mathematics Vector Algebra Question Bank Scaler or Dot product of two vectors and its application

  • question_answer
    If a and b are unit vectors and \[\mathbf{a}-\mathbf{b}\] is also a unit vector, then the angle between a and b is [RPET 1991; MP PET 1995; Pb. CET 2001]

    A)             \[\frac{\pi }{4}\]

    B)             \[\frac{\pi }{3}\]

    C)             \[\frac{\pi }{2}\]

    D)             \[\frac{2\pi }{3}\]

    Correct Answer: B

    Solution :

                    \[{{(\mathbf{a}-q\mathbf{b})}^{2}}=1=2-2\cos \Rightarrow \,\theta =60{}^\circ .\]


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