Question

Write a vector normal to the plane  \[\vec{r} = l \vec{b} + m \vec{c} .\]

 

Answer 1

\[\text{ The equation of the given plane is } \]

\[ \vec{r} = l \vec{b} + m \vec{c} \]

\[\text{ So, the plane passes parallel to the vectors } \vec{b} \text{ and } \vec{c} .\]

\[\text{ So, the vector normal to the plane is }  \vec{b} \times \vec{c} .\]