Write a vector normal to the plane r =l b +m c . - Vidyadip

Question

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

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Answer

The equation of the given plane is
$\vec{\text{r}}=\text{l}\vec{\text{b}}+\text{m}\vec{\text{c}}$
So, the plane passes parallel to the vectors $\vec{\text{b}}$ and $\vec{\text{c}}$.
So, the vector normal to the plane is $\vec{\text{b}}\times\vec{\text{c}}$.

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