The Cross Product: Triple Products
In this video I go over triple products, and more specifically the scalar triple product from Property 5 of my previous video. The scalar triple product can be written in determinant form and its geometric significance is that it makes up the volume of a parallelepiped, which is just a 3D parallelogram. I illustrate this triple product by an example and show that if the scalar triple product is equal to zero then all the vectors must be coplanar; that is, they are on the same plane and thus their volume is zero.
The timestamps of key parts of the video are listed below:
- Scalar Triple Product: 0:00
- Formula of a Parallelepiped: 7:59
- Example 5: 8:55
This video was taken from my earlier video listed below:
- Vectors and the Geometry of Space: The Cross Product: https://youtu.be/k8GRt95i-Gc
- Video notes: https://peakd.com/hive-128780/@mes/vectors-and-the-geometry-of-space-the-cross-product
- Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FuRJ8rg-YVQvfPoPOwhuRW
Related Videos:
Vectors and the Geometry of Space Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ .
------------------------------------------------------
SUBSCRIBE via EMAIL: https://mes.fm/subscribe
DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate
Like, Subscribe, Favorite, and Comment Below!
Follow us on:
MES Truth: https://mes.fm/truth
Official Website: https://MES.fm
Hive: https://peakd.com/@mes
MORE Links: https://linktr.ee/matheasy
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
-
16:45
Math Easy Solutions
1 year agoProperties of the Cross Product: Vector Triple Product
681 -
18:05
Math Easy Solutions
1 year agoProperties of the Cross Product
661 -
14:11
Physics - Classical Mechanics - DrOfEng
2 years agoVector cross product - Rotational kinematics - Classical mechanics - Physics
17 -
1:33
Math - Linear Algebra - DrOfEng
2 years agoMatrices, scalar product - Linear Algebra
17 -
11:50
Physics - Classical Mechanics - DrOfEng
2 years agoWork of a force and vector dot product - Work and energy - Dynamics - Classical mechanics - Physics
27 -
16:48
Understanding Linear Algebra
3 years agoDeterminants of a Product of Matrices
12 -
6:33
YouTubeEscapee3
1 year agoA Simple Geometric Algebra Solution to a "Hard" Vector Problem
12 -
2:03
InquisitiveKids
1 year agoParallelograms | Area
1 -
5:44
Math - Linear Algebra - DrOfEng
2 years agoMatrix multiplication - Linear Algebra
23 -
2:50
YouTubeEscapee3
1 year agoGeometric Algebra (GA): Simplify a Product of Basis Vectors
8