Vectors (mathematics and physics)

Tangent vector

In mathematics, a tangent vector is a vector that is tangent to a curve or surface at a given point. Tangent vectors are described in the differential geometry of curves in the context of curves in Rn. More generally, tangent vectors are elements of a tangent space of a differentiable manifold. Tangent vectors can also be described in terms of germs. Formally, a tangent vector at the point is a linear derivation of the algebra defined by the set of germs at . (Wikipedia).

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Determining the Unit Tangent Vector

This video explains how to determine the unit tangent vector to a curve defined by a vector valued function. http://mathispower4u.wordpress.com/

From playlist Vectors

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Find the point where their exist a horizontal tangent line

👉 Learn how to find the point of the horizontal tangent of a curve. A tangent to a curve is a line that touches a point in the outline of the curve. When given a curve described by the function y = f(x). The value of x for which the derivative of the function y, is zero is the point of hor

From playlist Find the Point Where the Tangent Line is Horizontal

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Introduction to the Unit Tangent Vector

Introduction to the Unit Tangent Vector

From playlist Calculus 3

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Find the values where the function has horizontal tangents

👉 Learn how to find the point of the horizontal tangent of a curve. A tangent to a curve is a line that touches a point in the outline of the curve. When given a curve described by the function y = f(x). The value of x for which the derivative of the function y, is zero is the point of hor

From playlist Find the Point Where the Tangent Line is Horizontal

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Find the Unit Tangent Vector and the Equation of the Tangent Line in Space

Find the Unit Tangent Vector and the Equation of the Tangent Line in Space If you enjoyed this video please consider liking, sharing, and subscribing. You can also help support my channel by becoming a member https://www.youtube.com/channel/UCr7lmzIk63PZnBw3bezl-Mg/join Thank you:)

From playlist Larson Calculus 12.4 Tangent Vectors and Normal Vectors

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6A Tangent normal coordinates on the blackboard part 1

Now that we know something about curvature, I show you the tangent normal coordinate system or body-coordinate system, using the tangent normal and principle normal unit vectors.

From playlist Life Science Math: Vectors

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The Equation of a Tangent Plane to a Surface (Relating to Tangent Line)

This video introduced how to determine the equation of a tangent plane to a surface. http://mathispower4u.com

From playlist Normal Vectors and Tangent Planes to Functions of Two Variables

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Equations of Tangents & Normals

More resources available at www.misterwootube.com

From playlist Applications of Differentiation

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Tangent to curve of vector function example

Free ebook http://tinyurl.com/EngMathYT A tutorial on how to calculate the (unit) tangent vector to a curve of a vector function of one variable.

From playlist Engineering Mathematics

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Manifolds #5: Tangent Space (part 1)

Today, we introduce the notion of tangent vectors and the tangent vector space at a point on a manifold.

From playlist Manifolds

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Worldwide Calculus: Level Sets & Gradient Values

Lecture on 'Level Sets & Gradient Values' from 'Worldwide Multivariable Calculus'. For more lecture videos and $10 digital textbooks, visit www.centerofmath.org.

From playlist Multivariable Derivatives

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Torsion: How curves twist in space, and the TNB or Frenet Frame

If you have a curve through space, torsion measures the degree to which the curve "twists". This is separate from how the curve "curves", which we saw was given by the curvature formula. In this video we will study the TNB or Frenet Frame given by three vectors, the Tangent, the principle

From playlist Calculus III: Multivariable Calculus (Vectors, Curves, Partial Derivatives, Multiple Integrals, Optimization, etc) **Full Course **

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What is a Tensor 15: Coordinate Transformations

What is a Tensor 15: Coordinate Transformations

From playlist What is a Tensor?

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What is General Relativity? Lesson 18: The Geodesic Equation Part 1

Lesson 18: The Geodesic Equation Part 1 We derive the geodesic equation from a mathematical point of view beginning with a manifold, a curve, a connection, and a parameterization of the curve. Check out the forums at http://xylyxylyx.freeforums.net/ and the Patreon page at https://www.

From playlist What is General Relativity?

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Derive or Prove the Equation of a Tangent Plane to a Surface

This video derives or proved the equation used to determine a tangent plane to a surface. http://mathispower4u.com

From playlist Normal Vectors and Tangent Planes to Functions of Two Variables

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Determining a Tangent Line to a Curve Defined by a Vector Valued Function

This video explains how to determine the equation of a tangent line to a curve defined by a vector valued function. http://mathispower4u.wordpress.com/

From playlist Vector Valued Function

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Manifolds 4.1 : Introduction to the Tangent Space

In this video, I introduce the tangent space, and prove that the tangent space of arbitrary euclidean space is the same dimensional (real) vector space. Translate This Video : Notes : None yet Patreon : https://www.patreon.com/user?u=16481182 Teespring : https://teespring.com/stores/femat

From playlist Manifolds

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OpenGL - normal maps

Code samples derived from work by Joey de Vries, @joeydevries, author of https://learnopengl.com/ All code samples, unless explicitly stated otherwise, are licensed under the terms of the CC BY-NC 4.0 license as published by Creative Commons, either version 4 of the License, or (at your o

From playlist OpenGL

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Multivariable Calculus | The Normal and Osculating Planes

We give the example of the normal and osculating planes of a given curve and calculate a few examples. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist Multivariable Calculus

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Multivariable Calculus | The projection of a vector.

We define the projection of a vector in a certain direction. As an application we decompose a vector into the sum of a parallel and orthogonal component. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist Vectors for Multivariable Calculus

Related pages

Calculus | Surface (mathematics) | Mathematics | Einstein notation | Curve | Covariance and contravariance of vectors | Tangent space | Germ (mathematics) | Tensor | Tangent | Derivation (differential algebra) | Differentiable manifold