JEE Main & Advanced Mathematics Vector Algebra Question Bank Critical Thinking

  • question_answer
    If two vertices of a triangle are \[\mathbf{i}-\mathbf{j}\] and \[\mathbf{j}+\mathbf{k}\], then the third vertex can be [Roorkee 1995]

    A) \[\mathbf{i}+\mathbf{k}\]

    B) \[\mathbf{i}-2\mathbf{j}-\mathbf{k}\]

    C) \[\mathbf{i}-\mathbf{k}\]

    D) \[2\mathbf{i}-\mathbf{j}\]

    E) All the above

    Correct Answer: E

    Solution :

    Since, no vector given in options is collinear with the given vectors. Therefore all vectors can be third vertex of the triangle.

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