Normal Vectors and Equations of Planes (Calculus 3)

This Calculus 3 video explains normal vectors to a plane and how to us them to find the equation of a plane in 3D space, as long as we also know a point that is contained in the plane. We work some examples of finding equations of planes with different pieces of information given at the start of each.
0:00 Normal vectors (Introduction)
1:21 Equations of planes through the origin
2:39 Equations of planes through any point
4:11 Example 1 (Given normal vector & a point)
6:04 The coordinate planes
8:04 Example 2 (Given 2 vectors and a point)
11:19 Example 3 (Given 3 points)