Watch on YouTube - Video notes - Video sections playlist - Vectors and the Geometry of Space playlist
In this video I show that the cross product of two non-parallel vectors on a plane obtains a vector perpendicular to that plane, and is called the normal vector. Each non-parallel vector can be obtained by simply taking the position vector of any two points. The normal vector is very important as it defines the equation for a plane, which is the set of points that have the same normal vector.
Timestamps:
Question 11: Find a vector perpendicular to a plane: 0:00
Solution: Find cross product of any 2 non-parallel vectors on the plane: 0:05
Find position vectors on the plane: 0:31
Finding the Normal or Perpendicular Vector of a Plane