Math Easy Solutions | Determining Parallel and Perpendicular Vectors and Planes via the Cross and Dot Products @mes | Uploaded July 2024 | Updated October 2024, 4 hours ago.
In this video I review how to determine whether two vectors or planes are parallel or perpendicular. Two vectors are parallel of their cross product is zero, and are perpendicular if their dot product is zero. The angle between two planes can be determining the angle between their normal vectors: if the angle is zero then the planes are parallel.
Timestamps:
- Question 15: 0:00
- Solution to (a): Cross product is zero for parallel vectors: 0:00
- Solution to (b): Dot product is zero for perpendicular vectors: 1:45
- Solution to (c): Angle between normal vectors is zero for parallel planes: 2:30
Full video and playlists:
- Full video: youtu.be/VMKb69uDVt0
- HIVE notes: peakd.com/hive-128780/@mes/vectors-and-the-geometry-of-space-review
- Video sections playlist: youtube.com/playlist?list=PLai3U8-WIK0EMiATrjv8HH3fPwKVsgU6P
- Vectors and the Geometry of Space playlist: youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ .
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In this video I review how to determine whether two vectors or planes are parallel or perpendicular. Two vectors are parallel of their cross product is zero, and are perpendicular if their dot product is zero. The angle between two planes can be determining the angle between their normal vectors: if the angle is zero then the planes are parallel.
Timestamps:
- Question 15: 0:00
- Solution to (a): Cross product is zero for parallel vectors: 0:00
- Solution to (b): Dot product is zero for perpendicular vectors: 1:45
- Solution to (c): Angle between normal vectors is zero for parallel planes: 2:30
Full video and playlists:
- Full video: youtu.be/VMKb69uDVt0
- HIVE notes: peakd.com/hive-128780/@mes/vectors-and-the-geometry-of-space-review
- Video sections playlist: youtube.com/playlist?list=PLai3U8-WIK0EMiATrjv8HH3fPwKVsgU6P
- Vectors and the Geometry of Space playlist: youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ .
------------------------------------------------------
Become a MES Super Fan! youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join
DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate
SUBSCRIBE via EMAIL: https://mes.fm/subscribe
MES Links: https://mes.fm/links
MES Truth: https://mes.fm/truth
Official Website: https://MES.fm
Hive: peakd.com/@mes
Email me: contact@mes.fm
Free Calculators: https://mes.fm/calculators
BMI Calculator: https://bmicalculator.mes.fm
Grade Calculator: https://gradecalculator.mes.fm
Mortgage Calculator: https://mortgagecalculator.mes.fm
Percentage Calculator: https://percentagecalculator.mes.fm
Free Online Tools: https://mes.fm/tools
iPhone and Android Apps: https://mes.fm/mobile-apps