Calculus Chapter 12

Ch 12  Vectors and the Geometry of Space

 

Ch 12.2 Vectors

 

Vector Basics – Algebraic Representations: Part 1 , 2 &3
http://www.youtube.com/watch?v=pimr9I92GZY&list=PLF83D74BA4DE75897&index=3&feature=plpp_video
http://www.youtube.com/watch?v=odhAVmAahb4&list=PLF83D74BA4DE75897&index=1&feature=plpp_video
http://www.youtube.com/watch?v=IUzoNG4-MIc&list=PLF83D74BA4DE75897&index=2&feature=plpp_video

 

Vector Addition and Scalar Multiplication
http://www.youtube.com/watch?v=pNMrYACjHXQ&feature=player_embedded

 

When Are Two Vectors Considered to Be the Same?
http://www.youtube.com/watch?v=i0Uaa9qOYWQ&feature=player_embedded

 

Vectors – Finding Magnitude or Length
http://www.youtube.com/watch?v=6GoMXuE1FOw&list=PLF83D74BA4DE75897&index=4&feature=plpp_video

 

Finding a Unit Vector
http://www.youtube.com/watch?v=6o_S7u7Ddx4&feature=player_embedded
http://www.youtube.com/watch?v=Zta-86kLjbM&feature=player_embedded

 

Word Problems Involving Velocity or Other Forces (Vectors)
http://www.youtube.com/watch?v=MINlnq4YvEY&feature=player_embedded
http://www.youtube.com/watch?v=Q5e1BjuPHts&feature=relmfu
http://www.youtube.com/watch?v=xgwNWMdXHkg&feature=player_embedded

 

Ch 12.3 The Dot Product

 

Vectors – The Dot Product
http://www.youtube.com/watch?v=98C7iv8OcnI&list=PLF83D74BA4DE75897&index=5&feature=plpp_video

 

Vector Projection
http://www.youtube.com/watch?v=3VlxQPeNJFs

 

Ch 12.4 The Cross Product

 

The Cross Product
http://www.youtube.com/watch?v=qsgK1d-_8ik&list=PLF83D74BA4DE75897&index=6&feature=plpp_video

 

Torque – An application of the cross product
http://www.youtube.com/watch?v=2LqtwgrDRQ8&list=PLF83D74BA4DE75897&index=8&feature=plpp_video

 

Ch 12.5 Equations of Lines and Planes

 

Finding the Vector Equation of a Line
http://www.youtube.com/watch?v=H7wre3njI0Y&feature=player_embedded

 

Finding the Scalar Equation of a Plane
http://www.youtube.com/watch?v=ISsO9Q4UCZw&list=PLF83D74BA4DE75897&index=7&feature=plpp_video

 

Determining the Equation of a Plane
http://www.youtube.com/watch?v=M5JQvPGueMI&list=PLD62DE3A6B73481F5&index=1&feature=plpp_video

 

Determining the Angle Between Two Planes
http://www.youtube.com/watch?v=rwr7yZ5KLVE&list=PLD62DE3A6B73481F5&index=4&feature=plpp_video

 

Line of Intersection of Two Planes by Cross Product
http://www.youtube.com/watch?v=tsSiou8J5K8

 

Determining the Distance Between a Plane and a Point
http://www.youtube.com/watch?v=3JXpqOwvHFY&list=PLD62DE3A6B73481F5&index=2&feature=plpp_video

 

Determining the Distance Between a Line and a Point
http://www.youtube.com/watch?v=TByHieZN4vw&list=PLD62DE3A6B73481F5&index=3&feature=plpp_video

 

Ch 12.6 Cylinders and Quadric Surfaces

 

Cylindrical Surfaces
http://www.youtube.com/watch?v=mjPnJnB0L-A&list=PLB8E3E9AF4EFC4A73&index=11&feature=plpp_video

 

Introduction to Quadric Surfaces
http://www.youtube.com/watch?v=x6c2DdOrkQI

 

Quadric Surface: The Ellipsoid
http://www.youtube.com/watch?v=uTUB_a-tyWI&list=PLB8E3E9AF4EFC4A73&index=8&feature=plpp_video

 

Quadric Surface: The Elliptical Paraboloid
http://www.youtube.com/watch?v=IQpTjE-u6Uw&list=PLB8E3E9AF4EFC4A73&index=9&feature=plpp_video

 

Quadric Surface: The Hyperbolic Paraboloid

http://www.youtube.com/watch?v=1Ixu7-wbmdU&list=PLB8E3E9AF4EFC4A73&index=5&feature=plpp_video

 

Quadric Surface: The Elliptical Cone
http://www.youtube.com/watch?v=tPltj2YWHTM&list=PLB8E3E9AF4EFC4A73&index=10&feature=plpp_video

 

Quadric Surface: The Hyperboloid of One Sheet
http://www.youtube.com/watch?v=SKU19ffTFX4&list=PLB8E3E9AF4EFC4A73&index=6&feature=plpp_video

 

Quadric Surface: The Hyperboloid of Two Sheets
http://www.youtube.com/watch?v=ASaQbMyPYLo&list=PLB8E3E9AF4EFC4A73&index=4&feature=plpp_video