Question

Lines and Planes. Find the standard form of the plane. Passes P(2,2,1) and (-1,1,-1) and is perpendicular to 2x-3y+z=3.

Answer 1

let \(Q(-1,1,-1)\) and \(\vec N=<2,-3+1>\)
find \(\vec{PQ}\)
calculate \(\vec{PQ}\times \vec N\)