You are about to action:

Object being modified by the action

Do you want to proceed?

Share Video Link

https://www.bitchute.com/video/LsprGl6QI3bd/

Click to copy, then share by pasting into your messages, comments, social media posts and websites.

Embed Video HTML

Click to copy, then add into your webpages so users can view and engage with this video from your site.

Share to Social Media

Share to social media by clicking on the quick share links.

Report Content

Reason

Please select the most appropriate reason from the list provided.

Note: For a more detailed description of each reason, see our Community Guidelines.

Additional Comments

Please add any additonal comments that will help with the assessment of your request.

Note: Copyright claims must contain all the items specified within the Copyright Policy.

Email Submissions

We also accept reports via email. Please see the Guidelines Enforcement Process for instructions on how to make a request via email.

Thank you for submitting your report

We will investigate and take the appropriate action.

Add to Playlist

Discovery Project: The Geometry of a Tetrahedron

Watch

Next video playing soon

Click to cancel

Autoplay has been paused

Click to watch next video

First published at 18:48 UTC on March 10th, 2023.

#mathematics
#science
#geometry

Math Easy Solutions

MES

subscribers

In this video I go over the Discovery Project titled The Geometry of a Tetrahedron. Discovery Projects are advanced math problems in each chapter of my calculus book, and this one is part of the Vectors and Geometry of Space chapter. This project involves 3 Questions regarding the tetrahedron, which is a triangular pyramid. The first question involves finding the areas of each triangular face using the Cross Product. The second question involves finding the volume of a tetrahedron when written in coordinate vector form. And the third question involves deriving the 3D version of the Pythagorean Theorem, which is: the 3 triangular areas squared at a vertex sum up to equal the square of the opposite triangular area!

The topics covered as well as their timestamps are listed below.

- Introduction: 0:00
- Calculus Book Reference: 0:56
- Sections in Calculus Book Chapter: 1:12
- Topics to Cover: 2:03
1. Discovery Project: The Geometry of a Tetrahedron: 2:25
2. 3 Questions: 3:05
- Question 1: 5:00
- Question 2: 34:59
- Solution to Part (a): 36:10
- The Equation of a Plane: 41:20
- The Distance from a Point to a Plane: 45:31
- Solution to Part (b): 52:43
- Question 3: 1:05:35

Download video notes: https://1drv.ms/b/s!As32ynv0LoaIicNsAiLSiBI1ivS39w?e=V33CkF

View video notes on the Hive blockchain: https://peakd.com/hive-128780/@mes/discovery-project-geometry-of-a-tetrahedron

View video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0GoEi9wxl8nTFcfw1ay-_1T

View the full Vectors and the Geometry of Space series: https://www.youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ