Calculus Animations,Graphics and Lecture Notes

Vector Valued Functions

Lecture Notes - Position

Vector Circle

Vector Helix

Vector Parabaloid

Notes - Velocity and Acceleration

Velocity

For a more detailed description of velocity and acceleration see the page on

Unit Tangents/Unit Normals.

Unit Tangents/Unit Normals

Notes - Lines in 2space

x= 2 + 3t y = 3 - 2t

x = -1 + 8t y = -3 + 5 t

Example 3

Notes - Lines in 3 Space

Collision

Intersection No Collision

Skew Lines-No Intersection

Find the equation of the line that is perpindicular to and intersects the line

L1: x = 7+ t y = -13 + 2t z = 8 - 2 t

and contains the point (-5,4,2)

Notes - the Solution

For a discussion and animations of flow fields and orthognal trajectories go to the differential equations page

Flow Fields and Orthognal Trajectories

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