JEE Main & Advanced Sample Paper JEE Main - Mock Test - 32

  • question_answer
    Vectors \[\vec{a}=\hat{i}+2\hat{j}+3\hat{k};\,\,\vec{b}=2\hat{i}-\hat{j}+\hat{k}\] and \[\vec{c}=3\hat{i}+\hat{j}+4\hat{k}\] are so placed that the end point of one vector is the starting point of the next vector. Then the vectors are-

    A) Not coplanar

    B) coplanar but cannot form a triangle

    C) coplanar and form triangle

    D) coplanar and can form a right-angled triangle

    Correct Answer: C

    Solution :

    [c]  \[\left[ \begin{align}   & \vec{a}=\hat{i}+2\hat{j}+3\hat{k} \\  & \vec{b}=2\hat{i}-\hat{j}+\hat{k} \\  & \vec{c}=3\hat{i}+\hat{j}+4\hat{k} \\ \end{align} \right.\Rightarrow \vec{c}=\vec{a}+\vec{b}\]


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