CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2001

  • question_answer
    If \[\vec{a}\]and \[\vec{b}\]are unit vectors and \[\theta \]is the angle between then \[|\vec{a}-\vec{b}|\,=\]

    A) \[2\sin \theta \]                               

    B) \[2\cos \theta \]

    C)  \[2\sin \theta /2\]                         

    D) \[2\cos \theta /2\]

    Correct Answer: C

    Solution :

    \[|\vec{a}|\,=1\]and \[|\vec{b}|\,=1\]or \[|\vec{a}-\vec{b}{{|}^{2}}=|\vec{a}{{|}^{2}}\]\[+|\vec{b}{{|}^{2}}=2\vec{a}\,\vec{b}\]\[=1+1-2\vec{a}\,\vec{b}=2-2|\vec{a}|\vec{b}|cos\theta \] \[\Rightarrow \]\[2-2{{\sin }^{2}}\theta /2=2\sin \theta /2\]


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