The Dot Product is Equal to Zero for Perpendicular Vectors
In this video I go further into the dot product and this time show that two vectors are perpendicular if their dot product is equal to zero. Since a ⋅ b = |a| |b| cos θ, then when the angle θ = π/2 radians or 90 degrees, then cosine π/2 = 0 and thus the dot product is equal to 0. This is a great way to verify if any 2 vectors are perpendicular, as which I also illustrate with an example.
The timestamps of key parts of the video are listed below:
Perpendicular Vectors: 0:00
Example 4: 2:05
This video was taken from my earlier video listed below:
Vectors and the Geometry of Space: The Dot Product: • Vectors and the Geometry of Space: Th...
Video notes: https://peakd.com/hive-128780/@mes/ve...
Playlist: • The Dot Product
Related Videos:
Vectors and the Geometry of Space Playlist: • Vectors and the Geometry of Space .
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