Sir, plz give full steps of TRANSFORMATION FROM  CARTESIAN TO VECTOR AND VECTOR TO CARETISIAN FORM.

Cross product of two vectors gets you normal vector, find a point on the plane, i.e. the origin, and set up the equation a(x-x1)+b(y-y1)+c(z-z1)=0

(a,b,c) is your normal vector components
x1, y1, z1 are you x,y,z coordinates of the point you chose

Solve til you get ax+by+cz=some number

PLEASE APPROVE MY ANSWER!!