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  4. If vec a , vec b , vec c are three non-coplanar vectors, then the vector equation vec r =(1-p-q) vec a +p vecb +q vecc represents a :

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Q. If $\vec{ a }, \vec{ b }, \vec{ c }$ are three non-coplanar vectors, then the vector equation $\vec{ r }=(1-p-q) \vec{ a }+p \vec{b}$ $+q \vec{c}$ represents a :

Bihar CECEBihar CECE 2003

Solution:

Since, $\vec{ a },\, \vec{ b },\, \vec{ c }$ are non-coplanar vectors, then the vector equation $\vec{ r }=(1-p-q) \vec{ a }+p \vec{ b }+q \vec{ c } \quad$ represents a plane.