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Home  /  Calculus: Single and Multivariable (8e)  /  Chapter 17 · Parameterization and Vector Fields
Section 17.2

Motion, Velocity, and Acceleration

Velocity and acceleration vectors; tangent and normal components; arc length and curvature.

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Chapter 17 · Parameterization and Vector Fields
Review

Review of Derivative Rules for Advanced Calculus Students

Examples

Examples of Finding Tangent Lines of Vector-Valued Functions

Examples

Examples of Finding Values of t for Tangent Lines Containing a Given Point

Examples

Examples of Integrating Vector-Valued Functions

Review

Review of Integration Techniques for Advanced Calculus Students

Examples

Examples of Initial Value Problems with Vector-Valued Functions

Lesson

Lesson on Arc Length and the Arc Length Parameter

Lesson

Lesson on Unit Tangent Vectors

Examples

Examples of Finding the Arc Length Parameter

Examples

Examples of Tangent Vectors and Lengths

Lesson

Lesson on Curvature and Normal Vectors of a Curve

Examples

Examples of Finding Unit Tangent Vectors, Curvature, and Normal Vectors

Examples

Example of Maximum Curvature

Examples

Examples of Writing Acceleration Vectors with the Unit Tangent and Unit Normal Vectors

Examples

Example of Finding Binormal Vectors and Torsion

Review

Review of Determinants for Calculus Students