# Day 03 - Day 03 Spatial Descriptions 1 Points and Vectors...

This preview shows pages 1–7. Sign up to view the full content.

Day 03 Spatial Descriptions 1/9/2012 1

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Points and Vectors 1/9/2012 2 point : a location in space vector : magnitude (length) and direction between two points p q v
Coordinate Frames 1/9/2012 3 choosing a frame (a point and two perpendicular vectors of unit length) allows us to assign coordinates 0 p 0 q = = 1 2 0 0 0 q p v 0 ˆ x 0 ˆ y 0 o { } 0 = 5 . 1 2 0 q = 5 . 2 4 0 p

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Coordinate Frames 1/9/2012 4 the coordinates change depending on the choice of frame 1 p 1 q = = 2 1 1 1 1 q p v 1 ˆ x 1 ˆ y 1 o { } 1 = 2 5 . 0 1 q = 4 5 . 0 1 p
Dot Product 1/9/2012 5 the dot product of two vectors = n u u u u 2 1 = n v v v v 2 1 v u v u v u v u v u T n n = + + + = 2 2 1 1 u v θ cos u cos v u v u =

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
1/9/2012 6 suppose we are given
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 02/13/2012 for the course CSE 4421 taught by Professor Burton during the Winter '11 term at York University.

### Page1 / 22

Day 03 - Day 03 Spatial Descriptions 1 Points and Vectors...

This preview shows document pages 1 - 7. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online