lecture03

# lecture03 - B Scalar product (dot product) A A B | A | B |...

This preview shows pages 1–4. Sign up to view the full content.

Scalar product (dot product) z z y y x x B A B A B A B A B A cos | || | A B Properties of the dot product A A A A C A B A C B A A B B A 2 2 ) ( Angle between vectors: | || | cos B A B A k A A j A A i A A z y x ˆ ˆ ˆ Projections A B AB B A B A || ||

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

View Full Document
cos || A A B cos || B B A A B AB B A B A || || B projected onto A : Component of A perpendicular to B : sin B B A sin A A B A projected onto B : Component of B perpendicular to A : Projections A B A B A B A B
Example: Which pair of vectors will have the largest value for A·B? A A B C B A B 60° A B 30° A·B = AB cos60° A·B =AB cos90°= 0 A·B = AB cos30° More visual: A · B = B A projected onto B A projected onto B A projected onto B A projected onto B

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

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 10/21/2010 for the course PHYS 221 taught by Professor Herrera-siklody during the Fall '08 term at Iowa State.

### Page1 / 8

lecture03 - B Scalar product (dot product) A A B | A | B |...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online