Find the equation for the plane through P(1,e,pi) perpendicular to the vector from the origin to P.
Hello, ineedhelp!
Exactly where is your difficulty?
Find the equation for the plane through $\displaystyle P(1,\,e,\,\pi)$
perpendicular to the vector from the origin to $\displaystyle P.$
We are given a point on the plane: $\displaystyle P(1,\,e,\,\pi)$
. . and the normal vector to the plane: .$\displaystyle \vec{n} \:=\:\langle1,\,e,\,\pi\rangle$
The equation is: .$\displaystyle 1(x-1) + e(y-e) + \pi(z-\pi) \:=\:0\quad\Rightarrow\quad\boxed{\;x + ey - \pi z \:=\:e^2 + \pi^2 + 1\;}$