Find an equation of the plane that passes through the points (4, 2, 1) and (-4, 7, 9) and is parallel to the z-axis.
So i know i need a point (x,y,z) and a normal vector n=<a,b,c> i have two points but how do i get a normal vector with the two points given?. I know that the final equation will be in form ax+by+d=0 with the z axis missing because its parallel to it. Thank you. If possible can you give me the final answer so i can see what im working towards.