Find the vector equation of a plane at a distance of 5 units from the origin and has ` hat i` as the unit vector normal to it.

Explanation

The vector form of equation of plane `i`-


`vec{r} cdot hat{n}=2 . `


`vec{r} cdot (hat{i})=5`


Cartesion equation of the plane


`vec{r}=x hat{i}+y hat{j}+z hat{k} `


`Rightarrow (x hat{i}+y hat{j}+z hat{k})hat{i}=5 `


`= x+y(0)+z(0)=5 `


`Rightarrow x=5`


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