I'm not understanding the relationship of a normal vector and a position vector that makes it into a 3D plane, and how I can visualize what that 3D plane is going to look like in 3D space.
Say I wanted a 3D plane that extends along the X and Z axis from the origin out to some points like 30x and 30z, this leaves the plane sitting entirely flat on the y axis such as the image below:
Would the point vector just be (0,0,0) and the normal vector be (0,30,0)?
I don't want to necessarily use the 3 point equation to obtain the plane's normal. Imagine I didn't know the 3 points other than the origin and I just wanted a REALLY big plane in the same x-z axis flat against y? What is the perpendicular vector actually saying about the plane's size?