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JEE Main & Advanced Mathematics Vector Algebra Question Bank Application of vectors in three dimensional geometry

  • question_answer
    If a, b, c are three non-coplanar vectors, then the vector equation \[\mathbf{r}=(1-\mathbf{p}-\mathbf{q})\,\mathbf{a}+p\mathbf{b}+q\mathbf{c}\] represents a             [EAMCET 2003]

    A)            Straight line                              

    B)            Plane

    C)            Plane passing through the origin

    D)            Sphere

    Correct Answer: B

    Solution :

               If \[\mathbf{a},\,\mathbf{b},\,\mathbf{c}\] are non-coplanar vectors then the vector equation \[\mathbf{r}=(1-p-q)\,\mathbf{a}+p\mathbf{b}+q\mathbf{c}\] represents a plane.


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