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

  • question_answer
    A body is at rest under  the action of three forces, two of which are \[{{\vec{F}}_{1}}=4\hat{i},\,{{\vec{F}}_{2}}=6\hat{j},\]the third force is [AMU 1996]

    A)                 \[4\hat{i}+6\hat{j}\]

    B)                             \[4\hat{i}-6\hat{j}\]

    C)                 \[-4\hat{i}+6\hat{j}\]    

    D)                 \[-4\hat{i}-6\hat{j}\]

    Correct Answer: D

    Solution :

                        \[{{F}_{1}}+{{F}_{2}}+{{F}_{3}}=0\]Þ \[4\hat{i}+6\hat{j}+{{F}_{3}}=0\]                 \\[{{\vec{F}}_{3}}=-4\hat{i}-6\hat{j}\]


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