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Finding the Normal or Perpendicular Vector of a Plane
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
Full video and playlists:
- Full video: https://youtu.be/VMKb69uDVt0
- HIVE notes: https://peakd.com/hive-128780/@mes/vectors-and-the-geometry-of-space-review
- Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0EMiATrjv8HH3fPwKVsgU6P
- Vectors and the Geometry of Space playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ .
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