CE30-Lecture2

# CE30-Lecture2 - Lecture 2 Vector Algebra What is a vector?...

This preview shows pages 1–10. Sign up to view the full content.

Lecture 2 Vector Algebra

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

View Full Document
What is a vector? A vector is a mathematical quantity with two characteristics: 1) magnitude: “how much”, size of vector, always a non-negative number, “length” of vector 2) Direction: orientation in space. Can you think of science quantities which are vectors in nature?

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

View Full Document
Vectors vs. scalar quantities A scalar is a quantity which has only the characteristic of magnitude . Name some scalars in science. ..

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

View Full Document
Prop. #1: Geometrically, a vector is represented as a ray V The initial or “tail” end The terminal or “head” end
Prop. #2: The “length” of the ray represents magnitude and direction of A is the angle the ray makes with the +x axis +X y V magnitude θ θ = 0 o

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

View Full Document
Prop. #3: Two vectors A and B are equal if they have the same magnitude and direction. A B This property allows us to move vectors around on our paper/blackboard without changing their properties. Not so fast !
Prop. #4: A = -B says that vectors A and B are anti-parallel.

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 01/21/2012 for the course C 85 taught by Professor Papadopoulos during the Spring '08 term at University of California, Berkeley.

### Page1 / 57

CE30-Lecture2 - Lecture 2 Vector Algebra What is a vector?...

This preview shows document pages 1 - 10. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online