Calculus III: Equations of Lines and Planes (Level 2) | Vector, Parametric, and Symmetric Equations

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This is the second video on the equations of lines and planes video series. In this video we will introduce vector form of the equation of a line, the parametric form of the equation of a line, the symmetric equations of a line, and the vector equation of a line segment in space.

#calculus3 #lines #vectors

0:00 Introduction
0:38 Equation of a Line in Space (Parametric Equations)
4:50 Equation of a Line in Space (Parametric Equations)
7:54 Equation of a Line in Space (Symmetric Equations)
10:05 Vector Equation of a Line Segment in Space

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I was so sad when I realized these videos only covered my first two weeks in calc III. Please upload more!! This helped me so much on my first quiz!

andreashaw
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0:00 Introduction
0:38 Equation of a Line in Space (Parametric Equations)
4:50 Equation of a Line in Space (Parametric Equations)
7:54 Equation of a Line in Space (Symmetric Equations)
10:05 Vector Equation of a Line Segment in Space

MathFortress
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Thank you! I'm taking Calc 3 right now and you have the clearest explanation of how the vector form of the equation of a line is developed. Using component vectors and vector addition cleanly shows how the equation is formed. I hate memorizing formulas and have always required myself to understand the basic principles underlying the mathematics. On a test, I will start with basic principles and develop the formulas during the test. Works every time for me!

stevenz
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Excellent explanation. It feels like I have already learnt the subject. Great teaching 👍

sadhananarendar
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incredibly useful and helpful knowledge. Thank you, greatly!

ktorres
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You are amazing
Follow you from Saudi Arabia

qyrgyqv
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11:01 could someone explain how the factoring out works?

robinprcr
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worst intro ever xd but rest is amazing thank you

berkincolak