Question

Find the vector equation of a plane which is at a distance of 7 unit from the origin and has \(\hat{i}\) as the unit vector normal to it.

Answer 1

Given unit vector along normal 

\(\hat{n}\) =  i 

and distance from origin (0, 0, 0) = 7 units 

∴ from vector equation of plane

\(\vec{r} .\hat{n} = d\)

\(\vec{r}.\hat{i} = 7\)