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NEET Sample Paper NEET Sample Test Paper-52

  • question_answer
    Given: \[\overrightarrow{C}=\overrightarrow{A}+\overrightarrow{B}\]. Also, the magnitudes of \[\overrightarrow{A},\,\,\overrightarrow{B}\] and \[\overrightarrow{C}\]are 12, 5 and 13 units respectively. The angle between \[\overrightarrow{A}\text{ }and\text{ }\overrightarrow{B}\] is-

    A) \[0{}^\circ \]                            

    B) \[\frac{\pi }{4}\]

    C) \[\frac{\pi }{2}\]                                    

    D) \[\pi \]

    Correct Answer: C

    Solution :

    \[{{13}^{2}}={{12}^{2}}+{{5}^{2}}+2\left( 12 \right)\left( 5 \right)cos\,\theta \] \[cos\,\theta \,\,=\,\,0\] \[\theta \,\,=\,\,90{}^\circ \]


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