JEE Main & Advanced Physics Vectors Question Bank Multiplication of Vectors

  • question_answer
    A force vector applied on a mass is represented as \[\vec{F}=6\hat{i}-8\hat{j}+10\hat{k}\] and accelerates with \[1\ m/{{s}^{2}}\]. What will be the mass of the body in kg.                                  [CMEET 1995]

    A)                 \[10\sqrt{2}\]   

    B)                 \[20\]

    C)                 \[2\sqrt{10}\]   

    D)                 10

    Correct Answer: A

    Solution :

                        \[\text{Mass}=\frac{\text{Force}}{\text{Acceleration}}=\frac{|\vec{F}|}{a}\]                 = \[\frac{\sqrt{36+64+100}}{1}\]\[=10\sqrt{2}\ kg\]


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