Determining if 3 Points Lie on the Same Line Using the Cross Product

in MES Science19 days ago

In this video I go over a method for determining if 3 points lie on the same line by using the cross product of any 2 position vectors formed from the points. If the cross product is zero then the points all lie on the same line. This is because the cross product is also equal to the lengths of the position vectors multiplied by the sine of the angle between them. If the angle is zero, then sin(0) = 0 and so is the cross product equal to 0.

Timestamps:

• Question 16: Three points on a line: 0:00
• Solution to (a): Cross Product is zero if 2 vectors are on the same line: 0:17
• Illustration of the method: 1:15
• Cross product of position vectors is zero if they are on same line: 2:41

Full video and playlists:

Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join

DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate

SUBSCRIBE via EMAIL: https://mes.fm/subscribe

MES Truth: https://mes.fm/truth
Official Website: https://MES.fm

Email me: [email protected]

Free Calculators: https://mes.fm/calculators

BMI Calculator: https://bmicalculator.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

▶️ 3Speak

19 days ago

✅ Good job. Your post has been appreciated and has received support from CHESS BROTHERS ♔ 💪

♟♟ You can also reach us on our Discord server and promote your posts there.

♟♟♟ Consider joining our curation trail so we work as a team and you get rewards automatically.

♞♟ Check out our @chessbrotherspro account to learn about the curation process carried out daily by our team.

🏅 If you want to earn profits with your HP delegation and support our project, we invite you to join the Master Investor plan. Here you can learn how to do it.

Kindly

The CHESS BROTHERS team