Find the vector equation of a plane which is at a distance of 3 units from the origin and has ` hat k` as the unit vector normal to it.

Explanation

Vector equation of a plane at a distance {d} from the origin and normal to the vector \vec{n} is


`\vec{r} . \hat{n}=d`


Unit vector of `{{n}}=\hat{{n}}=\frac{1}{|{{n}}|}({{n}})`


Distance from origin `={d}=3`


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