Uploaded July 2026 | Updated September 2026, 3 weeks ago
In this video, I go through obtaining the vector equation of a tangent line to a space curve, by replacing the parallel vector with the tangent vector from the general vector equation of a line. This was part of Question 3 of the Concept Check review, and I have expanded the tutorial at the end to illustrate how the vectors are added together in the tangent line equation.
#math #vectors #calculus #education #tangent
Timestamps:
- Concept Check Question 3: Tangent vector, tangent line, and unit tangent vector: 0:00
- Solution: Tangent vector is derivative of position vector – 0:13
- Unit tangent vector is tangent vector divided by its magnitude, so length becomes 1 – 0:25
- Recap on vector equation of a line – 1:26
- Vector equation of the tangent line – 2:30
- Tangent line has parallel vector equal to tangent vector – 3:33
- Tangent line is the vector addition of the initial position vector and a scalar multiple of the tangent vector – 4:50
Notes and playlists:
- Hive: 3speak.tv/watch?v=mes/vector-equation-of-a-tangen-684
- Notes: peakd.com/hive-128780/@mes/review-of-vector-functions-138
- Playlist: youtube.com/playlist?list=PLAsz0y2lc-c4
- Vector functions: youtube.com/playlist?list=PLai3U8-WIK0HQl7xTQBS_O8Te8PcpNm4U
- MES Links: https://mes.fm/links .
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In this video, I go through obtaining the vector equation of a tangent line to a space curve, by replacing the parallel vector with the tangent vector from the general vector equation of a line. This was part of Question 3 of the Concept Check review, and I have expanded the tutorial at the end to illustrate how the vectors are added together in the tangent line equation.
#math #vectors #calculus #education #tangent
Timestamps:
- Concept Check Question 3: Tangent vector, tangent line, and unit tangent vector: 0:00
- Solution: Tangent vector is derivative of position vector – 0:13
- Unit tangent vector is tangent vector divided by its magnitude, so length becomes 1 – 0:25
- Recap on vector equation of a line – 1:26
- Vector equation of the tangent line – 2:30
- Tangent line has parallel vector equal to tangent vector – 3:33
- Tangent line is the vector addition of the initial position vector and a scalar multiple of the tangent vector – 4:50
Notes and playlists:
- Hive: 3speak.tv/watch?v=mes/vector-equation-of-a-tangen-684
- Notes: peakd.com/hive-128780/@mes/review-of-vector-functions-138
- Playlist: youtube.com/playlist?list=PLAsz0y2lc-c4
- Vector functions: youtube.com/playlist?list=PLai3U8-WIK0HQl7xTQBS_O8Te8PcpNm4U
- MES Links: https://mes.fm/links .
------------------------------------------------------
Become a MES Super Fan! youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join
DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate
SUBSCRIBE via EMAIL: https://mes.fm/subscribe
MES Links: https://mes.fm/links
MES Truth: https://mes.fm/truth
Official Website: https://MES.fm
Hive: peakd.com/@mes
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
