Four Points are on a Plane if the Scalar Triple Product is Zero

in DTubelast month


In this video I illustrate a method for determining of 4 points lie on the same plane by checking if their scalar triple product (or volume of a parallelepiped) is zero. If it is zero then it means the volume of the parallelepiped spanned by the position vectors between the 4 points is zero, aka a flat plane.

Timestamps:

  • Question 16 (b): 4 4oints on a plane: 0:00
  • Solution: Volume of parallelepiped (scalar triple product) is zero: 0:13
  • Illustration of method: 1:26

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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    Great to see users coming back to DTube!

    Yup for sure! Hopefully the BNB bridge gets working again.

    The BNB bridge is going to be an issue in some respects. I was talking to one of the main guys and since the chain was halted and the issues that were present they essentially had to start a new chain with the snapshot from when it had halted but they don't have control of the keys for that current bridging system. Heimin had them and has disappeared. There is a work around that has been talked about but my worry is that those coins in those liquidity pools on the BSC and Ethereum are essentially lost and that if new bridges and pools are built there will be confusion of what pools are the proper pools for the currently running chain. Also Ionomy went down a couple months ago so those coins are likely lost / trapped unless the Ionomy people come back. One of the main guys is talking about building a bridge to the Waves blockchain.

    wow interesting. Thanks for the update! I have some tokens on Ionomy so it's sad they went under. And luckily I moved all my DTC tokens from BNB to DTube, but hopefully everything works out and they get some liquidity pools running. I haven't used Waves before, but would be good there too.

    Yeah, I had like 233 DTC on Ionomy but nothing big. Seems like they had 100,000 total coins on there that will likely be lost because they are unresponsive and it has been a couple months since transactions went out of there for STEEM, Blurt, and HIVE. So it is likely done.
    We are trying to figure some stuff out with it and there is a working bridge to waves on the test net but some things need to be tested and figured out.
    We have the code for the BSC bridge that was in place before the latest issues. https://github.com/techcoderx/bep20-avalon-bridge

    To be straight up honest my thoughts on it are that we get the bridging and liquidity pools working and get people back active on it and get price discovery but then for everyone to decide to rebrand the platform because if Heim never comes back we won't ever be able to fix D.Tube and we don't have access to the DTube accounts on anything else like X, Hive, Steem, Blurt.....etc. So we can't really market it properly.
    But to really do it all I would like to gain a bigger position in it overall because those accounts that Heim had control of totals up to be over 25% which isn't a big deal in some respects but it did get to a point where nothing could really get approved or move forward without his votes and approval.
    Regardless we are working on things to get everything rolling properly again.

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