Finding the Angle Between Two Intersecting Planes using the Dot Product of their Normal Vectors
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In this video I show that we can determine the angle between two intersecting planes by computing the dot product of their normal vectors. This follows from the dot product formula being equal to their lengths multiplied by the cosine of the angle between them. If the planes are parallel then the angle between them will be zero, hence the cosine of the angle will be just 1.
Timestamps:
- Question 12: Angle between 2 intersecting planes: 0:00
- Solution: Dot product of their normal vectors: 0:05
- Dot product angle formula: 1:00
Full video and playlists:
- Full video:
- 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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