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1

Finding the Normal or Perpendicular Vector of a Plane

The normal vector to a plane is the cross product of two non-parallel vectors on the plane.
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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

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