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

  • question_answer
    Forces \[{{F}_{1}}\] and \[{{F}_{2}}\] act on a point mass in two mutually perpendicular directions. The resultant force on the point mass will be                                              [CPMT 1991]

    A)                 \[{{F}_{1}}+{{F}_{2}}\]

    B)                             \[{{F}_{1}}-{{F}_{2}}\]

    C)                 \[\sqrt{F_{1}^{2}+F_{2}^{2}}\]  

    D)                 \[F_{1}^{2}+F_{2}^{2}\]

    Correct Answer: C

    Solution :

                        \[F=\sqrt{F_{1}^{2}+F_{2}^{2}+2{{F}_{1}}{{F}_{2}}\cos 90{}^\circ }\]\[=\sqrt{F_{1}^{2}+F_{2}^{2}}\]


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