JEE Main & Advanced Physics Two Dimensional Motion Question Bank Self Evaluation Test - Motion in a Plane

  • question_answer
    Vector \[\overrightarrow{A}\] makes equal angle with x, y and z-axis. Value of its components in terms of magnitude of \[\overrightarrow{A}\] will be

    A) \[\frac{\overrightarrow{A}}{\sqrt{3}}\]                

    B)        \[\frac{\overrightarrow{A}}{\sqrt{2}}\] 

    C) \[\sqrt{3}\,\overrightarrow{A}\]   

    D)        \[\frac{\sqrt{3}}{\overrightarrow{A}}\]

    Correct Answer: A

    Solution :

    [a] Let the components of \[\text{\vec{A}}\] make angles \[\alpha \],\[\beta \] and \[\gamma \] with x, y and z-axis respectively then \[\alpha =\beta =\gamma \] and \[co{{s}^{2}}\alpha +\text{ }co{{s}^{2}}\beta \text{ }+\text{ }co{{s}^{2}}\gamma \text{ }=\text{ }1\]


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