Question

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 :

• A. straight line
• B. plane
• C. plane passing through the origin
• D. sphere

Answer 1

Answer: (B)

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