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JEE Main & Advanced Physics Vectors Question Bank Addition and Subtraction of Vectors

  • question_answer
    If \[|\,\vec{A}+\vec{B}\,|\,=\,|\,\vec{A}\,|+|\,\vec{B}\,|\], then angle between \[\vec{A}\]and \[\vec{B}\] will be                                                 [CBSE PMT 2001]

    A)                 \[\text{9}0{}^\circ \]      

    B)                 \[\text{12}0{}^\circ \]

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

    D)                 \[\text{6}0{}^\circ \]

    Correct Answer: C

    Solution :

                        Resultant of two vectors \[\overrightarrow{A}\] and \[\overrightarrow{B}\] can be given by \[\overrightarrow{R}=\overrightarrow{A}+\overrightarrow{B}\]                                 \[|\overrightarrow{R}|\,=\,|\overrightarrow{A}+\overrightarrow{B}|\,=\sqrt{{{A}^{2}}+{{B}^{2}}+2AB\cos \theta }\]                                 If \[\theta =0{}^\circ \] then \[|\overrightarrow{R}|\,=A+B\]\[=\,|\overrightarrow{A}|+|\overrightarrow{B}|\]


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