Calculus Animations,Graphics and Lecture Notes Vectors in General
 Home About Kelly Liakos Sponsors Calculus 1- Limits and Derivatives Calculus 1 - The Second Derivative Calculus 1 and 3 Formula Sheets Chain Rule Computer Lab Assignments Conic Sections Differential Equations Directional Derivatives/Gradient Double Integrals Equillibrium Solutions 1st order DEs 1st order Diff Eqs -Motion Flux Integrals and Surface Integrals Infinite Sequences Infinie Series Level Curves and Level Surfaces Line Integrals Optimization and Related Rates Optimization for Functions of 2 Variables Parametric Equations 2-space Parametric Equations 3-space Partial Derivatives Polar Coordinate System Polar Coordinates- Derivatives and Integrals PreCalculus Riemann Sums and the Fundamental Theorem of Calculus 2d order Diff EQS-Motion 2d Partial Derivatives Supplemental Exercises and Solutions Tangent Planes/ Differential for f(x,y) Trigonometry Trigonometry Applications Triple Integrals Unit Tangent Vectors/Unit Normal Vectors Vectors in General Vector Valued Functions Visualizing Limits of Functions of 2 Variables Work Links Special Topics Scratch Paper 2 Poems

The following are my lecture notes on the basics of vectors.

I've broken these into 3 lectures. The first lecture deals with the basic geometry and the coordinatization of vectors to include scalar multiplication, addition, and subtraction of vectors. This includes a discussion of the i-j form of a vector.

To see animated examples of the addition of vectors see the velocity vector applications on the trigonometry applications page.

The second lecture deals exclusively with the dot product and  the third deals with the cross product.

 Vector Basics The Dot Product The Cross Product

The Smart Bunny-A very short story by Kurt Vonnegut Jr.