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

  • question_answer
    If q be the angle between two vectors a and b, then                     \[\mathbf{a}.\mathbf{b}\] \[\ge 0\]  if                                 [MP PET 1995]

    A)             \[0\le \theta \le \pi \]

    B)             \[\frac{\pi }{2}\le \theta \le \pi \]

    C)             \[0\le \theta \le \frac{\pi }{2}\]

    D)             None of these

    Correct Answer: C

    Solution :

    As we know \[\mathbf{a}\,.\,\mathbf{b}=ab\cos \theta \] Obviously, \[\cos \theta \,\ge 0\] for \[0\le \,\theta \,\,\le \frac{\pi }{2}\] and \[\frac{3\pi }{2}\le \,\theta \,\le 2\pi .\]


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