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

  • question_answer
    If the vectors \[(\hat{i}+\hat{j}+\hat{k})\] and  \[3\hat{i}\] form two sides of a triangle, the area of the triangle is:

    A) \[\sqrt{3}\]                    

    B)        \[2\sqrt{3}\]

    C) \[\frac{3}{\sqrt{2}}\]   

    D)        \[3\sqrt{2}\]

    Correct Answer: C

    Solution :

    [c] The area of the triangle \[A=\frac{1}{2}|(\hat{i}+\hat{j}+\hat{k})\times (3\hat{i})|=\frac{3}{\sqrt{2}}.\]


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