(1) General form: ax + by + cz + d = 0 (normal is (a,b,c)). (2) Normal form: r.n-hat = p, where p is the perpendicular distance from origin. (3) Intercept form: x/a + y/b + z/c = 1 (intercepts on x, y, z axes are a, b, c). (4) Point-normal form: a(x-) + b(y-) + c(z-) = 0. (5) Three-point form: use the determinant involving the three points. The normal to the plane ax+by+cz+d=0 has DRs (a,b,c).
Part of V3D-02 — Three-Dimensional Geometry
Equation of a Plane — All Forms
Like these notes? Save your own copy and start studying with NoteTube's AI tools.
Sign up free to clone these notes