Parametric Equations of a Line

In this video I convert the vector equation of a line into its parametric equations form. To do this I first expand the vector equation by writing out its components and then summing them up. Then I equate each x, y, and z coordinate with its corresponding components resulting in 3 equations. These 3 equations are called the Parametric Equations of a line. I also go over an example on finding the vector and parametric equations of a line that passes through the point (5, 1, 3) and is parallel to the vector [1, 4, -2]. Finally, I graph the line using the amazing GeoGebra 3D graphing calculator, which you can play around with here: https://www.geogebra.org/calculator/wszwnpme

The timestamps of key parts of the video are listed below:

• Parametric Equations of a Line: 0:00
• Example 1: 4:31
  • Solution to 1(a): 4:57
  • Solution to 1(b): 13:03

This video was taken from my earlier video listed below:

• Equations of Lines and Planes: https://youtu.be/qWQz6qPhXR8
• Video notes: https://peakd.com/hive-128780/@mes/equations-of-lines-and-planes
• Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FO3u0IupqllNNkZTsffpIV

Related videos:

Vectors and the Geometry of Space video series: 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