Calculus Animations,Graphics and Lecture Notes
Vector Valued Functions
Vector Valued Functions Position,Velocity, and Acceleration
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.
For a more detailed description of velocity and acceleration see the page on
Unit Tangents/Unit Normals.
Unit Tangents/Unit Normals
Lines in 2 space
Notes - Lines in 2space
x= 2 + 3t y = 3 - 2t
x = -1 + 8t y = -3 + 5 t
Example 3
Lines in 3 Space
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 lineL1: x = 7+ t y = -13 + 2t z = 8 - 2 tand contains the point (-5,4,2)
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.
©2008-2010 Kelly Liakos