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Some videos

Chapter 12: Vectors and Geometry of Space
• Overview
• 12.1 Three-Dimensional Coordinate system
  • Points in 3-space
  • Examples of surfaces in 3-space
• 12.2. Vectors
  • Vector definitions
  • Vector addition geometric interpretation
  • Scalar multipication geometric interpretation
  • Properties of vector addition and scalar multipication
  • Unit vectors
• 12.3. Dot Product
  • Dot product, meaning and projections
  • Properties of the dot product
  • Work
• 12.4. Cross Product
  • Cross product - definition
  • Cross product - how to compute
  • What does the cross product compute
  • Detecting parallel vectors using cross product
  • Properties of cross product
  • Areas of parallelograms
• 12.5. Equations of Lines and Planes
  • Formulas for lines in 3-space
  • Example checking if 2 lines are skew, parallel or intersect
  • Formulas for planes in 3-space
  • Example - intersection of a line and a plane
  • Example - equation of plane through 3 points
  • Example - distance from a point to a plane, way 1
  • Example - distance from a point to a plane, way 2

Chapter 13: Vector functions
• Overview
• 13.1 Vector Functions and Space Curves
  • Part 1
  • Part 2
• 13.2. Derivatives and Integrals
  • Part 1
  • Part 2
  • Part 3
• 13.3. Arc Length and Curvature
  • Part 1
  • Part 2
• 13.4. Motion in Space
  • Part 1
  • Part 2
  • Part 3
• Extra. Guest Lecture: Michael Hilderth
  • Part 1
  • Part 2
  • Part 3

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