Lecture 2011.06.15 Projection and Components of a Vector

YouTube Playlist

Image Title Description Files Demonstrations
Part 01 Formula for the component of a vector Notes
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Part 02 Meaning of the sign of component and dot product Notes
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Part 03 The rate of change of the distance from a fixed point to a moving particle is the component of the velocity vector along the position vector Notes
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Part 04 Geometric solution of the problem on distance to a curve Notes
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Part 05 Differentiation explained geometrically as linearization and localization Notes
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Part 06 Everything so far generalizes to 3-space Notes
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Part 07 Discovering geometry by recognizing the component formula Notes
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Part 08 Formula for the projection Notes
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Part 09 Formula for the orthogonal component Notes
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Part 10 Distance from a point to a line using orthogonal component Notes
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Part 11 Importance of the order of vectors in the formulas for component, projection, and orthogonal component Notes
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Part 12 Example of computing component, projection, and orthogonal component Notes
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Part 13 Completion of squares Notes
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Part 14 Solving quadratic equations by completing the square Notes
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